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Co-Ordinate Geometry: The Distance Formula. Distance between Two Points

Example 1:In the cartesian plane, find distance between the two points (-88,-96) and (-31,-18).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-88) - (-31))2 + ((-96) - (-18))2)1/2 = ( ((-57))2 + ((-78))2)1/2 
= (9333)1/2 = 96.61 units

Example 2:In the cartesian plane, find distance between the two points (-23,-7) and (-77,-22).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-23) - (-77))2 + ((-7) - (-22))2)1/2 = ( ((54))2 + ((15))2)1/2 
= (3141)1/2 = 56.04 units

Example 3:In the cartesian plane, find distance between the two points (-65,-1) and (-10,-16).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-65) - (-10))2 + ((-1) - (-16))2)1/2 = ( ((-55))2 + ((15))2)1/2 
= (3250)1/2 = 57.01 units

Example 4:In the cartesian plane, find distance between the two points (-3,-14) and (-99,-77).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-3) - (-99))2 + ((-14) - (-77))2)1/2 = ( ((96))2 + ((63))2)1/2 
= (13185)1/2 = 114.83 units

Example 5:In the cartesian plane, find distance between the two points (-92,-96) and (-56,-19).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-92) - (-56))2 + ((-96) - (-19))2)1/2 = ( ((-36))2 + ((-77))2)1/2 
= (7225)1/2 = 85.0 units

Example 6:In the cartesian plane, find distance between the two points (-5,-12) and (-45,-96).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-5) - (-45))2 + ((-12) - (-96))2)1/2 = ( ((40))2 + ((84))2)1/2 
= (8656)1/2 = 93.04 units

Example 7:In the cartesian plane, find distance between the two points (-93,-76) and (-40,-29).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-93) - (-40))2 + ((-76) - (-29))2)1/2 = ( ((-53))2 + ((-47))2)1/2 
= (5018)1/2 = 70.84 units

Example 8:In the cartesian plane, find distance between the two points (-78,-96) and (-100,-25).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-78) - (-100))2 + ((-96) - (-25))2)1/2 = ( ((22))2 + ((-71))2)1/2 
= (5525)1/2 = 74.33 units

Example 9:In the cartesian plane, find distance between the two points (-62,-36) and (-78,-24).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-62) - (-78))2 + ((-36) - (-24))2)1/2 = ( ((16))2 + ((-12))2)1/2 
= (400)1/2 = 20.0 units

Example 10:In the cartesian plane, find distance between the two points (-28,-69) and (-80,-74).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-28) - (-80))2 + ((-69) - (-74))2)1/2 = ( ((52))2 + ((5))2)1/2 
= (2729)1/2 = 52.24 units

Example 11:In the cartesian plane, find distance between the two points (-35,-38) and (-33,-64).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-35) - (-33))2 + ((-38) - (-64))2)1/2 = ( ((-2))2 + ((26))2)1/2 
= (680)1/2 = 26.08 units

Example 12:In the cartesian plane, find distance between the two points (-23,-99) and (-11,-54).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-23) - (-11))2 + ((-99) - (-54))2)1/2 = ( ((-12))2 + ((-45))2)1/2 
= (2169)1/2 = 46.57 units

Example 13:In the cartesian plane, find distance between the two points (-46,-96) and (-45,-23).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-46) - (-45))2 + ((-96) - (-23))2)1/2 = ( ((-1))2 + ((-73))2)1/2 
= (5330)1/2 = 73.01 units

Example 14:In the cartesian plane, find distance between the two points (-17,-9) and (-22,-63).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-17) - (-22))2 + ((-9) - (-63))2)1/2 = ( ((5))2 + ((54))2)1/2 
= (2941)1/2 = 54.23 units

Example 15:In the cartesian plane, find distance between the two points (-84,-1) and (-54,-91).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-84) - (-54))2 + ((-1) - (-91))2)1/2 = ( ((-30))2 + ((90))2)1/2 
= (9000)1/2 = 94.87 units

Example 16:In the cartesian plane, find distance between the two points (-15,-58) and (-59,-41).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-15) - (-59))2 + ((-58) - (-41))2)1/2 = ( ((44))2 + ((-17))2)1/2 
= (2225)1/2 = 47.17 units

Example 17:In the cartesian plane, find distance between the two points (-23,-3) and (-50,-69).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-23) - (-50))2 + ((-3) - (-69))2)1/2 = ( ((27))2 + ((66))2)1/2 
= (5085)1/2 = 71.31 units

Example 18:In the cartesian plane, find distance between the two points (-8,-36) and (-85,-50).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-8) - (-85))2 + ((-36) - (-50))2)1/2 = ( ((77))2 + ((14))2)1/2 
= (6125)1/2 = 78.26 units

Example 19:In the cartesian plane, find distance between the two points (-82,-1) and (-85,-85).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-82) - (-85))2 + ((-1) - (-85))2)1/2 = ( ((3))2 + ((84))2)1/2 
= (7065)1/2 = 84.05 units

Example 20:In the cartesian plane, find distance between the two points (-13,-91) and (-11,-24).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-13) - (-11))2 + ((-91) - (-24))2)1/2 = ( ((-2))2 + ((-67))2)1/2 
= (4493)1/2 = 67.03 units

Example 21:In the cartesian plane, find distance between the two points (-37,-22) and (-84,-32).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-37) - (-84))2 + ((-22) - (-32))2)1/2 = ( ((47))2 + ((10))2)1/2 
= (2309)1/2 = 48.05 units

Example 22:In the cartesian plane, find distance between the two points (-18,-98) and (-65,-93).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-18) - (-65))2 + ((-98) - (-93))2)1/2 = ( ((47))2 + ((-5))2)1/2 
= (2234)1/2 = 47.27 units

Example 23:In the cartesian plane, find distance between the two points (-43,-44) and (-3,-70).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-43) - (-3))2 + ((-44) - (-70))2)1/2 = ( ((-40))2 + ((26))2)1/2 
= (2276)1/2 = 47.71 units

Example 24:In the cartesian plane, find distance between the two points (-25,-6) and (-26,-63).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-25) - (-26))2 + ((-6) - (-63))2)1/2 = ( ((1))2 + ((57))2)1/2 
= (3250)1/2 = 57.01 units

Example 25:In the cartesian plane, find distance between the two points (-18,-69) and (-90,-29).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-18) - (-90))2 + ((-69) - (-29))2)1/2 = ( ((72))2 + ((-40))2)1/2 
= (6784)1/2 = 82.37 units

Example 26:In the cartesian plane, find distance between the two points (-55,-54) and (-72,-59).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-55) - (-72))2 + ((-54) - (-59))2)1/2 = ( ((17))2 + ((5))2)1/2 
= (314)1/2 = 17.72 units

Example 27:In the cartesian plane, find distance between the two points (-42,-100) and (-43,-79).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-42) - (-43))2 + ((-100) - (-79))2)1/2 = ( ((1))2 + ((-21))2)1/2 
= (442)1/2 = 21.02 units

Example 28:In the cartesian plane, find distance between the two points (-25,-81) and (-64,-97).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-25) - (-64))2 + ((-81) - (-97))2)1/2 = ( ((39))2 + ((16))2)1/2 
= (1777)1/2 = 42.15 units

Example 29:In the cartesian plane, find distance between the two points (-55,-61) and (-48,-92).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-55) - (-48))2 + ((-61) - (-92))2)1/2 = ( ((-7))2 + ((31))2)1/2 
= (1010)1/2 = 31.78 units

Example 30:In the cartesian plane, find distance between the two points (-23,-35) and (-20,-13).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-23) - (-20))2 + ((-35) - (-13))2)1/2 = ( ((-3))2 + ((-22))2)1/2 
= (493)1/2 = 22.2 units

Example 31:In the cartesian plane, find distance between the two points (-90,-56) and (-77,-83).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-90) - (-77))2 + ((-56) - (-83))2)1/2 = ( ((-13))2 + ((27))2)1/2 
= (898)1/2 = 29.97 units

Example 32:In the cartesian plane, find distance between the two points (-36,-68) and (-97,-30).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-36) - (-97))2 + ((-68) - (-30))2)1/2 = ( ((61))2 + ((-38))2)1/2 
= (5165)1/2 = 71.87 units

Example 33:In the cartesian plane, find distance between the two points (-20,-3) and (-91,-76).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-20) - (-91))2 + ((-3) - (-76))2)1/2 = ( ((71))2 + ((73))2)1/2 
= (10370)1/2 = 101.83 units

Example 34:In the cartesian plane, find distance between the two points (-64,-23) and (-32,-38).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-64) - (-32))2 + ((-23) - (-38))2)1/2 = ( ((-32))2 + ((15))2)1/2 
= (1249)1/2 = 35.34 units

Example 35:In the cartesian plane, find distance between the two points (-29,-25) and (-89,-74).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-29) - (-89))2 + ((-25) - (-74))2)1/2 = ( ((60))2 + ((49))2)1/2 
= (6001)1/2 = 77.47 units

Example 36:In the cartesian plane, find distance between the two points (-15,-86) and (-54,-92).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-15) - (-54))2 + ((-86) - (-92))2)1/2 = ( ((39))2 + ((6))2)1/2 
= (1557)1/2 = 39.46 units

Example 37:In the cartesian plane, find distance between the two points (-7,-22) and (-92,-39).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-7) - (-92))2 + ((-22) - (-39))2)1/2 = ( ((85))2 + ((17))2)1/2 
= (7514)1/2 = 86.68 units

Example 38:In the cartesian plane, find distance between the two points (-55,-100) and (-86,-98).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-55) - (-86))2 + ((-100) - (-98))2)1/2 = ( ((31))2 + ((-2))2)1/2 
= (965)1/2 = 31.06 units

Example 39:In the cartesian plane, find distance between the two points (-67,-55) and (-58,-55).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-67) - (-58))2 + ((-55) - (-55))2)1/2 = ( ((-9))2 + ((0))2)1/2 
= (81)1/2 = 9.0 units

Example 40:In the cartesian plane, find distance between the two points (-70,-92) and (-18,-47).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-70) - (-18))2 + ((-92) - (-47))2)1/2 = ( ((-52))2 + ((-45))2)1/2 
= (4729)1/2 = 68.77 units

Example 41:In the cartesian plane, find distance between the two points (-38,-93) and (-56,-34).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-38) - (-56))2 + ((-93) - (-34))2)1/2 = ( ((18))2 + ((-59))2)1/2 
= (3805)1/2 = 61.68 units

Example 42:In the cartesian plane, find distance between the two points (-5,-97) and (-18,-55).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-5) - (-18))2 + ((-97) - (-55))2)1/2 = ( ((13))2 + ((-42))2)1/2 
= (1933)1/2 = 43.97 units

Example 43:In the cartesian plane, find distance between the two points (-82,-97) and (-31,-19).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-82) - (-31))2 + ((-97) - (-19))2)1/2 = ( ((-51))2 + ((-78))2)1/2 
= (8685)1/2 = 93.19 units

Example 44:In the cartesian plane, find distance between the two points (-96,-67) and (-2,-86).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-96) - (-2))2 + ((-67) - (-86))2)1/2 = ( ((-94))2 + ((19))2)1/2 
= (9197)1/2 = 95.9 units

Example 45:In the cartesian plane, find distance between the two points (-87,-31) and (-22,-72).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-87) - (-22))2 + ((-31) - (-72))2)1/2 = ( ((-65))2 + ((41))2)1/2 
= (5906)1/2 = 76.85 units

Example 46:In the cartesian plane, find distance between the two points (-63,-45) and (-20,-77).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-63) - (-20))2 + ((-45) - (-77))2)1/2 = ( ((-43))2 + ((32))2)1/2 
= (2873)1/2 = 53.6 units

Example 47:In the cartesian plane, find distance between the two points (-5,-12) and (-56,-48).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-5) - (-56))2 + ((-12) - (-48))2)1/2 = ( ((51))2 + ((36))2)1/2 
= (3897)1/2 = 62.43 units

Example 48:In the cartesian plane, find distance between the two points (-67,-32) and (-46,-83).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-67) - (-46))2 + ((-32) - (-83))2)1/2 = ( ((-21))2 + ((51))2)1/2 
= (3042)1/2 = 55.15 units

Example 49:In the cartesian plane, find distance between the two points (-63,-77) and (-69,-75).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-63) - (-69))2 + ((-77) - (-75))2)1/2 = ( ((6))2 + ((-2))2)1/2 
= (40)1/2 = 6.32 units

Example 50:In the cartesian plane, find distance between the two points (-36,-60) and (-4,-71).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-36) - (-4))2 + ((-60) - (-71))2)1/2 = ( ((-32))2 + ((11))2)1/2 
= (1145)1/2 = 33.84 units

Example 51:In the cartesian plane, find distance between the two points (-25,-69) and (-92,-98).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-25) - (-92))2 + ((-69) - (-98))2)1/2 = ( ((67))2 + ((29))2)1/2 
= (5330)1/2 = 73.01 units

Example 52:In the cartesian plane, find distance between the two points (-24,-68) and (-94,-70).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-24) - (-94))2 + ((-68) - (-70))2)1/2 = ( ((70))2 + ((2))2)1/2 
= (4904)1/2 = 70.03 units

Example 53:In the cartesian plane, find distance between the two points (-77,-3) and (-78,-13).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-77) - (-78))2 + ((-3) - (-13))2)1/2 = ( ((1))2 + ((10))2)1/2 
= (101)1/2 = 10.05 units

Example 54:In the cartesian plane, find distance between the two points (-70,-40) and (-55,-73).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-70) - (-55))2 + ((-40) - (-73))2)1/2 = ( ((-15))2 + ((33))2)1/2 
= (1314)1/2 = 36.25 units

Example 55:In the cartesian plane, find distance between the two points (-12,-91) and (-4,-39).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-12) - (-4))2 + ((-91) - (-39))2)1/2 = ( ((-8))2 + ((-52))2)1/2 
= (2768)1/2 = 52.61 units

Example 56:In the cartesian plane, find distance between the two points (-89,-41) and (-12,-78).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-89) - (-12))2 + ((-41) - (-78))2)1/2 = ( ((-77))2 + ((37))2)1/2 
= (7298)1/2 = 85.43 units

Example 57:In the cartesian plane, find distance between the two points (-87,-52) and (-81,-12).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-87) - (-81))2 + ((-52) - (-12))2)1/2 = ( ((-6))2 + ((-40))2)1/2 
= (1636)1/2 = 40.45 units

Example 58:In the cartesian plane, find distance between the two points (-72,-95) and (-21,-77).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-72) - (-21))2 + ((-95) - (-77))2)1/2 = ( ((-51))2 + ((-18))2)1/2 
= (2925)1/2 = 54.08 units

Example 59:In the cartesian plane, find distance between the two points (-68,-91) and (-2,-16).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-68) - (-2))2 + ((-91) - (-16))2)1/2 = ( ((-66))2 + ((-75))2)1/2 
= (9981)1/2 = 99.9 units

Example 60:In the cartesian plane, find distance between the two points (-78,-7) and (-92,-21).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-78) - (-92))2 + ((-7) - (-21))2)1/2 = ( ((14))2 + ((14))2)1/2 
= (392)1/2 = 19.8 units

Example 61:In the cartesian plane, find distance between the two points (-82,-79) and (-28,-41).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-82) - (-28))2 + ((-79) - (-41))2)1/2 = ( ((-54))2 + ((-38))2)1/2 
= (4360)1/2 = 66.03 units

Example 62:In the cartesian plane, find distance between the two points (-85,-49) and (-73,-27).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-85) - (-73))2 + ((-49) - (-27))2)1/2 = ( ((-12))2 + ((-22))2)1/2 
= (628)1/2 = 25.06 units

Example 63:In the cartesian plane, find distance between the two points (-27,-77) and (-5,-28).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-27) - (-5))2 + ((-77) - (-28))2)1/2 = ( ((-22))2 + ((-49))2)1/2 
= (2885)1/2 = 53.71 units

Example 64:In the cartesian plane, find distance between the two points (-27,-11) and (-76,-92).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-27) - (-76))2 + ((-11) - (-92))2)1/2 = ( ((49))2 + ((81))2)1/2 
= (8962)1/2 = 94.67 units

Example 65:In the cartesian plane, find distance between the two points (-83,-81) and (-52,-57).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-83) - (-52))2 + ((-81) - (-57))2)1/2 = ( ((-31))2 + ((-24))2)1/2 
= (1537)1/2 = 39.2 units

Example 66:In the cartesian plane, find distance between the two points (-20,-3) and (-23,-15).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-20) - (-23))2 + ((-3) - (-15))2)1/2 = ( ((3))2 + ((12))2)1/2 
= (153)1/2 = 12.37 units

Example 67:In the cartesian plane, find distance between the two points (-60,-55) and (-18,-60).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-60) - (-18))2 + ((-55) - (-60))2)1/2 = ( ((-42))2 + ((5))2)1/2 
= (1789)1/2 = 42.3 units

Example 68:In the cartesian plane, find distance between the two points (-56,-77) and (-36,-84).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-56) - (-36))2 + ((-77) - (-84))2)1/2 = ( ((-20))2 + ((7))2)1/2 
= (449)1/2 = 21.19 units

Example 69:In the cartesian plane, find distance between the two points (-24,-8) and (-39,-58).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-24) - (-39))2 + ((-8) - (-58))2)1/2 = ( ((15))2 + ((50))2)1/2 
= (2725)1/2 = 52.2 units

Example 70:In the cartesian plane, find distance between the two points (-6,-65) and (-11,-31).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-6) - (-11))2 + ((-65) - (-31))2)1/2 = ( ((5))2 + ((-34))2)1/2 
= (1181)1/2 = 34.37 units

Example 71:In the cartesian plane, find distance between the two points (-88,-6) and (-11,-84).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-88) - (-11))2 + ((-6) - (-84))2)1/2 = ( ((-77))2 + ((78))2)1/2 
= (12013)1/2 = 109.6 units

Example 72:In the cartesian plane, find distance between the two points (-65,-2) and (-79,-73).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-65) - (-79))2 + ((-2) - (-73))2)1/2 = ( ((14))2 + ((71))2)1/2 
= (5237)1/2 = 72.37 units

Example 73:In the cartesian plane, find distance between the two points (-14,-91) and (-16,-71).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-14) - (-16))2 + ((-91) - (-71))2)1/2 = ( ((2))2 + ((-20))2)1/2 
= (404)1/2 = 20.1 units

Example 74:In the cartesian plane, find distance between the two points (-37,-99) and (-32,-46).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-37) - (-32))2 + ((-99) - (-46))2)1/2 = ( ((-5))2 + ((-53))2)1/2 
= (2834)1/2 = 53.24 units

Example 75:In the cartesian plane, find distance between the two points (-20,-85) and (-94,-70).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-20) - (-94))2 + ((-85) - (-70))2)1/2 = ( ((74))2 + ((-15))2)1/2 
= (5701)1/2 = 75.5 units

Example 76:In the cartesian plane, find distance between the two points (-49,-95) and (-100,-37).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-49) - (-100))2 + ((-95) - (-37))2)1/2 = ( ((51))2 + ((-58))2)1/2 
= (5965)1/2 = 77.23 units

Example 77:In the cartesian plane, find distance between the two points (-70,-61) and (-67,-82).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-70) - (-67))2 + ((-61) - (-82))2)1/2 = ( ((-3))2 + ((21))2)1/2 
= (450)1/2 = 21.21 units

Example 78:In the cartesian plane, find distance between the two points (-71,-31) and (-31,-97).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-71) - (-31))2 + ((-31) - (-97))2)1/2 = ( ((-40))2 + ((66))2)1/2 
= (5956)1/2 = 77.18 units

Example 79:In the cartesian plane, find distance between the two points (-83,-67) and (-52,-89).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-83) - (-52))2 + ((-67) - (-89))2)1/2 = ( ((-31))2 + ((22))2)1/2 
= (1445)1/2 = 38.01 units

Example 80:In the cartesian plane, find distance between the two points (-7,-100) and (-96,-73).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-7) - (-96))2 + ((-100) - (-73))2)1/2 = ( ((89))2 + ((-27))2)1/2 
= (8650)1/2 = 93.01 units

Example 81:In the cartesian plane, find distance between the two points (-60,-9) and (-29,-20).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-60) - (-29))2 + ((-9) - (-20))2)1/2 = ( ((-31))2 + ((11))2)1/2 
= (1082)1/2 = 32.89 units

Example 82:In the cartesian plane, find distance between the two points (-80,-73) and (-64,-3).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-80) - (-64))2 + ((-73) - (-3))2)1/2 = ( ((-16))2 + ((-70))2)1/2 
= (5156)1/2 = 71.81 units

Example 83:In the cartesian plane, find distance between the two points (-88,-87) and (-99,-74).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-88) - (-99))2 + ((-87) - (-74))2)1/2 = ( ((11))2 + ((-13))2)1/2 
= (290)1/2 = 17.03 units

Example 84:In the cartesian plane, find distance between the two points (-15,-23) and (-62,-35).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-15) - (-62))2 + ((-23) - (-35))2)1/2 = ( ((47))2 + ((12))2)1/2 
= (2353)1/2 = 48.51 units

Example 85:In the cartesian plane, find distance between the two points (-47,-61) and (-65,-88).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-47) - (-65))2 + ((-61) - (-88))2)1/2 = ( ((18))2 + ((27))2)1/2 
= (1053)1/2 = 32.45 units

Example 86:In the cartesian plane, find distance between the two points (-12,-31) and (-40,-64).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-12) - (-40))2 + ((-31) - (-64))2)1/2 = ( ((28))2 + ((33))2)1/2 
= (1873)1/2 = 43.28 units

Example 87:In the cartesian plane, find distance between the two points (-33,-23) and (-94,-14).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-33) - (-94))2 + ((-23) - (-14))2)1/2 = ( ((61))2 + ((-9))2)1/2 
= (3802)1/2 = 61.66 units

Example 88:In the cartesian plane, find distance between the two points (-74,-91) and (-3,-30).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-74) - (-3))2 + ((-91) - (-30))2)1/2 = ( ((-71))2 + ((-61))2)1/2 
= (8762)1/2 = 93.61 units

Example 89:In the cartesian plane, find distance between the two points (-7,-78) and (-97,-85).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-7) - (-97))2 + ((-78) - (-85))2)1/2 = ( ((90))2 + ((7))2)1/2 
= (8149)1/2 = 90.27 units

Example 90:In the cartesian plane, find distance between the two points (-56,-53) and (-16,-25).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-56) - (-16))2 + ((-53) - (-25))2)1/2 = ( ((-40))2 + ((-28))2)1/2 
= (2384)1/2 = 48.83 units

Example 91:In the cartesian plane, find distance between the two points (-12,-12) and (-67,-12).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-12) - (-67))2 + ((-12) - (-12))2)1/2 = ( ((55))2 + ((0))2)1/2 
= (3025)1/2 = 55.0 units

Example 92:In the cartesian plane, find distance between the two points (-53,-19) and (-24,-59).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-53) - (-24))2 + ((-19) - (-59))2)1/2 = ( ((-29))2 + ((40))2)1/2 
= (2441)1/2 = 49.41 units

Example 93:In the cartesian plane, find distance between the two points (-90,-98) and (-7,-48).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-90) - (-7))2 + ((-98) - (-48))2)1/2 = ( ((-83))2 + ((-50))2)1/2 
= (9389)1/2 = 96.9 units

Example 94:In the cartesian plane, find distance between the two points (-75,-41) and (-73,-45).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-75) - (-73))2 + ((-41) - (-45))2)1/2 = ( ((-2))2 + ((4))2)1/2 
= (20)1/2 = 4.47 units

Example 95:In the cartesian plane, find distance between the two points (-56,-14) and (-90,-32).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-56) - (-90))2 + ((-14) - (-32))2)1/2 = ( ((34))2 + ((18))2)1/2 
= (1480)1/2 = 38.47 units

Example 96:In the cartesian plane, find distance between the two points (-59,-54) and (-31,-38).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-59) - (-31))2 + ((-54) - (-38))2)1/2 = ( ((-28))2 + ((-16))2)1/2 
= (1040)1/2 = 32.25 units

Example 97:In the cartesian plane, find distance between the two points (-4,-56) and (-69,-17).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-4) - (-69))2 + ((-56) - (-17))2)1/2 = ( ((65))2 + ((-39))2)1/2 
= (5746)1/2 = 75.8 units

Example 98:In the cartesian plane, find distance between the two points (-6,-24) and (-16,-20).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-6) - (-16))2 + ((-24) - (-20))2)1/2 = ( ((10))2 + ((-4))2)1/2 
= (116)1/2 = 10.77 units

Example 99:In the cartesian plane, find distance between the two points (-36,-36) and (-66,-72).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-36) - (-66))2 + ((-36) - (-72))2)1/2 = ( ((30))2 + ((36))2)1/2 
= (2196)1/2 = 46.86 units

Example 100:In the cartesian plane, find distance between the two points (-90,-98) and (-22,-47).


Answer:Using the distance formula, the distance between the two points on the cartesian plane is 
= ( ((-90) - (-22))2 + ((-98) - (-47))2)1/2 = ( ((-68))2 + ((-51))2)1/2 
= (7225)1/2 = 85.0 units