# geometry

If a line segment has endpoints A(3x+5, 3y) and B(x-1, -y) what are the coordinates of the midpoint AB?

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1. the midpoint is just the average of the endpoints:

M = ( ((3x+5)+(x-1))/2 , (3y+(-y))/2 )
= ((4x+4)/2 , 2y/2)
= (2x+2,y)

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