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### Example 1:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-57,-30) and (-43,-68).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-57) + (-43))/2 , ((-30) + (-68))/2 ) = (-100/2.0,-98/2.0) = (-50.0,-49.0)

### Example 2:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-71,-17) and (-86,-19).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-71) + (-86))/2 , ((-17) + (-19))/2 ) = (-157/2.0,-36/2.0) = (-78.5,-18.0)

### Example 3:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-73,-78) and (-93,-50).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-73) + (-93))/2 , ((-78) + (-50))/2 ) = (-166/2.0,-128/2.0) = (-83.0,-64.0)

### Example 4:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-38,-64) and (-10,-78).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-38) + (-10))/2 , ((-64) + (-78))/2 ) = (-48/2.0,-142/2.0) = (-24.0,-71.0)

### Example 5:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-7,-23) and (-77,-25).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-7) + (-77))/2 , ((-23) + (-25))/2 ) = (-84/2.0,-48/2.0) = (-42.0,-24.0)

### Example 6:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-59,-65) and (-73,-95).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-59) + (-73))/2 , ((-65) + (-95))/2 ) = (-132/2.0,-160/2.0) = (-66.0,-80.0)

### Example 7:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-64,-59) and (-59,-47).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-64) + (-59))/2 , ((-59) + (-47))/2 ) = (-123/2.0,-106/2.0) = (-61.5,-53.0)

### Example 8:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-60,-84) and (-53,-81).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-60) + (-53))/2 , ((-84) + (-81))/2 ) = (-113/2.0,-165/2.0) = (-56.5,-82.5)

### Example 9:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-5,-94) and (-68,-82).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-5) + (-68))/2 , ((-94) + (-82))/2 ) = (-73/2.0,-176/2.0) = (-36.5,-88.0)

### Example 10:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-38,-56) and (-3,-33).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-38) + (-3))/2 , ((-56) + (-33))/2 ) = (-41/2.0,-89/2.0) = (-20.5,-44.5)

### Example 11:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-56,-69) and (-65,-17).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-56) + (-65))/2 , ((-69) + (-17))/2 ) = (-121/2.0,-86/2.0) = (-60.5,-43.0)

### Example 12:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-13,-70) and (-98,-86).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-13) + (-98))/2 , ((-70) + (-86))/2 ) = (-111/2.0,-156/2.0) = (-55.5,-78.0)

### Example 13:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-60,-48) and (-70,-20).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-60) + (-70))/2 , ((-48) + (-20))/2 ) = (-130/2.0,-68/2.0) = (-65.0,-34.0)

### Example 14:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-76,-22) and (-72,-4).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-76) + (-72))/2 , ((-22) + (-4))/2 ) = (-148/2.0,-26/2.0) = (-74.0,-13.0)

### Example 15:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-78,-34) and (-47,-91).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-78) + (-47))/2 , ((-34) + (-91))/2 ) = (-125/2.0,-125/2.0) = (-62.5,-62.5)

### Example 16:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-62,-31) and (-61,-43).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-62) + (-61))/2 , ((-31) + (-43))/2 ) = (-123/2.0,-74/2.0) = (-61.5,-37.0)

### Example 17:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-39,-64) and (-19,-54).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-39) + (-19))/2 , ((-64) + (-54))/2 ) = (-58/2.0,-118/2.0) = (-29.0,-59.0)

### Example 18:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-99,-76) and (-45,-22).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-99) + (-45))/2 , ((-76) + (-22))/2 ) = (-144/2.0,-98/2.0) = (-72.0,-49.0)

### Example 19:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-8,-14) and (-83,-12).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-8) + (-83))/2 , ((-14) + (-12))/2 ) = (-91/2.0,-26/2.0) = (-45.5,-13.0)

### Example 20:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-54,-45) and (-68,-49).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-54) + (-68))/2 , ((-45) + (-49))/2 ) = (-122/2.0,-94/2.0) = (-61.0,-47.0)

### Example 21:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-7,-31) and (-56,-27).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-7) + (-56))/2 , ((-31) + (-27))/2 ) = (-63/2.0,-58/2.0) = (-31.5,-29.0)

### Example 22:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-44,-52) and (-97,-90).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-44) + (-97))/2 , ((-52) + (-90))/2 ) = (-141/2.0,-142/2.0) = (-70.5,-71.0)

### Example 23:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-55,-25) and (-44,-62).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-55) + (-44))/2 , ((-25) + (-62))/2 ) = (-99/2.0,-87/2.0) = (-49.5,-43.5)

### Example 24:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-1,-58) and (-30,-37).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-1) + (-30))/2 , ((-58) + (-37))/2 ) = (-31/2.0,-95/2.0) = (-15.5,-47.5)

### Example 25:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-8,-41) and (-9,-51).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-8) + (-9))/2 , ((-41) + (-51))/2 ) = (-17/2.0,-92/2.0) = (-8.5,-46.0)

### Example 26:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-81,-45) and (-77,-25).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-81) + (-77))/2 , ((-45) + (-25))/2 ) = (-158/2.0,-70/2.0) = (-79.0,-35.0)

### Example 27:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-83,-53) and (-1,-35).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-83) + (-1))/2 , ((-53) + (-35))/2 ) = (-84/2.0,-88/2.0) = (-42.0,-44.0)

### Example 28:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-6,-36) and (-1,-99).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-6) + (-1))/2 , ((-36) + (-99))/2 ) = (-7/2.0,-135/2.0) = (-3.5,-67.5)

### Example 29:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-71,-60) and (-44,-27).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-71) + (-44))/2 , ((-60) + (-27))/2 ) = (-115/2.0,-87/2.0) = (-57.5,-43.5)

### Example 30:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-66,-80) and (-11,-16).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-66) + (-11))/2 , ((-80) + (-16))/2 ) = (-77/2.0,-96/2.0) = (-38.5,-48.0)

### Example 31:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-30,-47) and (-31,-27).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-30) + (-31))/2 , ((-47) + (-27))/2 ) = (-61/2.0,-74/2.0) = (-30.5,-37.0)

### Example 32:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-60,-64) and (-43,-14).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-60) + (-43))/2 , ((-64) + (-14))/2 ) = (-103/2.0,-78/2.0) = (-51.5,-39.0)

### Example 33:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-12,-54) and (-43,-90).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-12) + (-43))/2 , ((-54) + (-90))/2 ) = (-55/2.0,-144/2.0) = (-27.5,-72.0)

### Example 34:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-26,-41) and (-50,-74).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-26) + (-50))/2 , ((-41) + (-74))/2 ) = (-76/2.0,-115/2.0) = (-38.0,-57.5)

### Example 35:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-16,-1) and (-90,-99).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-16) + (-90))/2 , ((-1) + (-99))/2 ) = (-106/2.0,-100/2.0) = (-53.0,-50.0)

### Example 36:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-71,-70) and (-5,-41).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-71) + (-5))/2 , ((-70) + (-41))/2 ) = (-76/2.0,-111/2.0) = (-38.0,-55.5)

### Example 37:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-47,-53) and (-63,-72).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-47) + (-63))/2 , ((-53) + (-72))/2 ) = (-110/2.0,-125/2.0) = (-55.0,-62.5)

### Example 38:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-59,-64) and (-20,-20).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-59) + (-20))/2 , ((-64) + (-20))/2 ) = (-79/2.0,-84/2.0) = (-39.5,-42.0)

### Example 39:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-79,-19) and (-47,-72).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-79) + (-47))/2 , ((-19) + (-72))/2 ) = (-126/2.0,-91/2.0) = (-63.0,-45.5)

### Example 40:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-29,-39) and (-60,-90).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-29) + (-60))/2 , ((-39) + (-90))/2 ) = (-89/2.0,-129/2.0) = (-44.5,-64.5)

### Example 41:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-55,-72) and (-40,-46).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-55) + (-40))/2 , ((-72) + (-46))/2 ) = (-95/2.0,-118/2.0) = (-47.5,-59.0)

### Example 42:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-72,-51) and (-36,-50).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-72) + (-36))/2 , ((-51) + (-50))/2 ) = (-108/2.0,-101/2.0) = (-54.0,-50.5)

### Example 43:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-77,-97) and (-17,-87).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-77) + (-17))/2 , ((-97) + (-87))/2 ) = (-94/2.0,-184/2.0) = (-47.0,-92.0)

### Example 44:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-2,-59) and (-15,-10).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-2) + (-15))/2 , ((-59) + (-10))/2 ) = (-17/2.0,-69/2.0) = (-8.5,-34.5)

### Example 45:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-99,-22) and (-1,-78).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-99) + (-1))/2 , ((-22) + (-78))/2 ) = (-100/2.0,-100/2.0) = (-50.0,-50.0)

### Example 46:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-16,-76) and (-89,-63).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-16) + (-89))/2 , ((-76) + (-63))/2 ) = (-105/2.0,-139/2.0) = (-52.5,-69.5)

### Example 47:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-89,-60) and (-89,-15).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-89) + (-89))/2 , ((-60) + (-15))/2 ) = (-178/2.0,-75/2.0) = (-89.0,-37.5)

### Example 48:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-86,-28) and (-9,-43).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-86) + (-9))/2 , ((-28) + (-43))/2 ) = (-95/2.0,-71/2.0) = (-47.5,-35.5)

### Example 49:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-45,-38) and (-84,-100).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-45) + (-84))/2 , ((-38) + (-100))/2 ) = (-129/2.0,-138/2.0) = (-64.5,-69.0)

### Example 50:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-65,-32) and (-54,-32).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-65) + (-54))/2 , ((-32) + (-32))/2 ) = (-119/2.0,-64/2.0) = (-59.5,-32.0)

### Example 51:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-29,-33) and (-5,-14).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-29) + (-5))/2 , ((-33) + (-14))/2 ) = (-34/2.0,-47/2.0) = (-17.0,-23.5)

### Example 52:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-40,-79) and (-34,-52).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-40) + (-34))/2 , ((-79) + (-52))/2 ) = (-74/2.0,-131/2.0) = (-37.0,-65.5)

### Example 53:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-97,-98) and (-61,-82).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-97) + (-61))/2 , ((-98) + (-82))/2 ) = (-158/2.0,-180/2.0) = (-79.0,-90.0)

### Example 54:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-18,-38) and (-4,-60).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-18) + (-4))/2 , ((-38) + (-60))/2 ) = (-22/2.0,-98/2.0) = (-11.0,-49.0)

### Example 55:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-24,-51) and (-38,-51).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-24) + (-38))/2 , ((-51) + (-51))/2 ) = (-62/2.0,-102/2.0) = (-31.0,-51.0)

### Example 56:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-83,-44) and (-61,-30).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-83) + (-61))/2 , ((-44) + (-30))/2 ) = (-144/2.0,-74/2.0) = (-72.0,-37.0)

### Example 57:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-37,-94) and (-27,-48).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-37) + (-27))/2 , ((-94) + (-48))/2 ) = (-64/2.0,-142/2.0) = (-32.0,-71.0)

### Example 58:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-33,-87) and (-22,-68).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-33) + (-22))/2 , ((-87) + (-68))/2 ) = (-55/2.0,-155/2.0) = (-27.5,-77.5)

### Example 59:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-79,-71) and (-85,-8).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-79) + (-85))/2 , ((-71) + (-8))/2 ) = (-164/2.0,-79/2.0) = (-82.0,-39.5)

### Example 60:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-85,-74) and (-95,-4).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-85) + (-95))/2 , ((-74) + (-4))/2 ) = (-180/2.0,-78/2.0) = (-90.0,-39.0)

### Example 61:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-90,-40) and (-23,-44).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-90) + (-23))/2 , ((-40) + (-44))/2 ) = (-113/2.0,-84/2.0) = (-56.5,-42.0)

### Example 62:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-85,-34) and (-97,-23).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-85) + (-97))/2 , ((-34) + (-23))/2 ) = (-182/2.0,-57/2.0) = (-91.0,-28.5)

### Example 63:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-72,-95) and (-77,-77).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-72) + (-77))/2 , ((-95) + (-77))/2 ) = (-149/2.0,-172/2.0) = (-74.5,-86.0)

### Example 64:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-70,-69) and (-50,-9).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-70) + (-50))/2 , ((-69) + (-9))/2 ) = (-120/2.0,-78/2.0) = (-60.0,-39.0)

### Example 65:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-44,-100) and (-89,-50).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-44) + (-89))/2 , ((-100) + (-50))/2 ) = (-133/2.0,-150/2.0) = (-66.5,-75.0)

### Example 66:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-51,-81) and (-28,-70).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-51) + (-28))/2 , ((-81) + (-70))/2 ) = (-79/2.0,-151/2.0) = (-39.5,-75.5)

### Example 67:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-98,-21) and (-58,-79).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-98) + (-58))/2 , ((-21) + (-79))/2 ) = (-156/2.0,-100/2.0) = (-78.0,-50.0)

### Example 68:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-42,-79) and (-92,-66).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-42) + (-92))/2 , ((-79) + (-66))/2 ) = (-134/2.0,-145/2.0) = (-67.0,-72.5)

### Example 69:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-10,-46) and (-27,-71).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-10) + (-27))/2 , ((-46) + (-71))/2 ) = (-37/2.0,-117/2.0) = (-18.5,-58.5)

### Example 70:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-9,-5) and (-59,-15).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-9) + (-59))/2 , ((-5) + (-15))/2 ) = (-68/2.0,-20/2.0) = (-34.0,-10.0)

### Example 71:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-7,-36) and (-68,-24).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-7) + (-68))/2 , ((-36) + (-24))/2 ) = (-75/2.0,-60/2.0) = (-37.5,-30.0)

### Example 72:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-84,-95) and (-33,-70).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-84) + (-33))/2 , ((-95) + (-70))/2 ) = (-117/2.0,-165/2.0) = (-58.5,-82.5)

### Example 73:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-54,-34) and (-31,-76).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-54) + (-31))/2 , ((-34) + (-76))/2 ) = (-85/2.0,-110/2.0) = (-42.5,-55.0)

### Example 74:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-58,-20) and (-19,-93).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-58) + (-19))/2 , ((-20) + (-93))/2 ) = (-77/2.0,-113/2.0) = (-38.5,-56.5)

### Example 75:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-2,-41) and (-25,-53).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-2) + (-25))/2 , ((-41) + (-53))/2 ) = (-27/2.0,-94/2.0) = (-13.5,-47.0)

### Example 76:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-61,-49) and (-19,-11).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-61) + (-19))/2 , ((-49) + (-11))/2 ) = (-80/2.0,-60/2.0) = (-40.0,-30.0)

### Example 77:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-49,-38) and (-6,-71).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-49) + (-6))/2 , ((-38) + (-71))/2 ) = (-55/2.0,-109/2.0) = (-27.5,-54.5)

### Example 78:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-92,-54) and (-7,-77).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-92) + (-7))/2 , ((-54) + (-77))/2 ) = (-99/2.0,-131/2.0) = (-49.5,-65.5)

### Example 79:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-91,-1) and (-5,-28).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-91) + (-5))/2 , ((-1) + (-28))/2 ) = (-96/2.0,-29/2.0) = (-48.0,-14.5)

### Example 80:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-43,-34) and (-20,-29).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-43) + (-20))/2 , ((-34) + (-29))/2 ) = (-63/2.0,-63/2.0) = (-31.5,-31.5)

### Example 81:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-33,-88) and (-44,-83).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-33) + (-44))/2 , ((-88) + (-83))/2 ) = (-77/2.0,-171/2.0) = (-38.5,-85.5)

### Example 82:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-72,-98) and (-50,-38).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-72) + (-50))/2 , ((-98) + (-38))/2 ) = (-122/2.0,-136/2.0) = (-61.0,-68.0)

### Example 83:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-58,-83) and (-39,-59).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-58) + (-39))/2 , ((-83) + (-59))/2 ) = (-97/2.0,-142/2.0) = (-48.5,-71.0)

### Example 84:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-94,-58) and (-60,-2).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-94) + (-60))/2 , ((-58) + (-2))/2 ) = (-154/2.0,-60/2.0) = (-77.0,-30.0)

### Example 85:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-96,-6) and (-90,-31).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-96) + (-90))/2 , ((-6) + (-31))/2 ) = (-186/2.0,-37/2.0) = (-93.0,-18.5)

### Example 86:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-59,-82) and (-15,-4).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-59) + (-15))/2 , ((-82) + (-4))/2 ) = (-74/2.0,-86/2.0) = (-37.0,-43.0)

### Example 87:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-6,-76) and (-93,-97).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-6) + (-93))/2 , ((-76) + (-97))/2 ) = (-99/2.0,-173/2.0) = (-49.5,-86.5)

### Example 88:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-50,-38) and (-11,-54).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-50) + (-11))/2 , ((-38) + (-54))/2 ) = (-61/2.0,-92/2.0) = (-30.5,-46.0)

### Example 89:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-58,-50) and (-64,-17).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-58) + (-64))/2 , ((-50) + (-17))/2 ) = (-122/2.0,-67/2.0) = (-61.0,-33.5)

### Example 90:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-57,-25) and (-64,-35).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-57) + (-64))/2 , ((-25) + (-35))/2 ) = (-121/2.0,-60/2.0) = (-60.5,-30.0)

### Example 91:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-68,-44) and (-85,-95).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-68) + (-85))/2 , ((-44) + (-95))/2 ) = (-153/2.0,-139/2.0) = (-76.5,-69.5)

### Example 92:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-22,-7) and (-5,-1).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-22) + (-5))/2 , ((-7) + (-1))/2 ) = (-27/2.0,-8/2.0) = (-13.5,-4.0)

### Example 93:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-45,-40) and (-81,-73).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-45) + (-81))/2 , ((-40) + (-73))/2 ) = (-126/2.0,-113/2.0) = (-63.0,-56.5)

### Example 94:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-3,-34) and (-41,-57).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-3) + (-41))/2 , ((-34) + (-57))/2 ) = (-44/2.0,-91/2.0) = (-22.0,-45.5)

### Example 95:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-5,-81) and (-49,-12).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-5) + (-49))/2 , ((-81) + (-12))/2 ) = (-54/2.0,-93/2.0) = (-27.0,-46.5)

### Example 96:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-80,-12) and (-49,-63).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-80) + (-49))/2 , ((-12) + (-63))/2 ) = (-129/2.0,-75/2.0) = (-64.5,-37.5)

### Example 97:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-99,-53) and (-10,-27).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-99) + (-10))/2 , ((-53) + (-27))/2 ) = (-109/2.0,-80/2.0) = (-54.5,-40.0)

### Example 98:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-15,-98) and (-51,-30).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-15) + (-51))/2 , ((-98) + (-30))/2 ) = (-66/2.0,-128/2.0) = (-33.0,-64.0)

### Example 99:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-51,-96) and (-12,-75).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-51) + (-12))/2 , ((-96) + (-75))/2 ) = (-63/2.0,-171/2.0) = (-31.5,-85.5)

### Example 100:In the cartesian plane, find the co-ordinates of the mid-point of the line joining (-22,-45) and (-72,-23).

Answer:The mid-point is ((x1+x2)/2,(y1+y2)/2) = ( ((-22) + (-72))/2 , ((-45) + (-23))/2 ) = (-94/2.0,-68/2.0) = (-47.0,-34.0)