Janie was given (-2, 3) as the endpoint of a line segment and (0,1) as its midpoint, which ordered pair should Janie choose as he other endpoint?

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10-01-2018
Mathematics

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Janie was given (-2, 3) as the endpoint of a line segment and (0,1) as its midpoint, which ordered pair should Janie choose as he other endpoint?

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jamuuj jamuuj · Answer 1 · 2018-01-17T13:24:37+01:00

When given two end points of a segment say for example (X1,Y1) and (X2,Y2) to get the midpoint of the line or the segment we use the formula,
midpoint =( (X1+X2)/2 , (Y1+Y2)/2 )
therefore in our case the midpoint is (0,1)
hence, (-2 + X2)/ 2 = 0, thus X2 = 2
and (3 + Y2)/ 2= 1 , thus Y2 = -1
Therefore the other end point will be (2,-1). Thus none of the above paper can be used as the other end point.