# geometry

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

• geometry -

The midpoint of a line segment is just halfway from A to B. So, the coordinates are just the average of the endpoints.

If C = midpoint of AB then

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

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