Question

Find the other endpoint of the segment with a
midpoint of (-6, 4) and endpoint of (4, 8).

Answer 1

(-16, 0)

Explanation:

You want the other endpoint of the segment with midpoint (-6, 4) and endpoint (4, 8).

Setup

The midpoint of a line segment has coordinates that are the average of the coordinates of the end points.

M = (A +B)/2 . . . . midpoint M of segment AB

2M = A +B . . . . . multiply by 2

B = 2M -A . . . . . solved for the other end point

B = 2(-6, 4) -(4, 8) . . . . substitute given coordinates

Solution

B = (2(-6) -4, 2(4) -8) = (-16, 0)

The other end point of the segment is (-16, 0).