Question

Answer soon please and thank you! (3,-6) is an endpoint coordinate on a line segment, where the midpoint is given to us as (1, -2). What is the coordinate of the other endpoint of the line segment?

A. (3, -1)

B. (1, -1)

C. (-1, 2)

D. (-3, 6)

Answer 1

C. (-1, 2)

Explanation:

The midpoint has coordinates that are the average of the endpoint coordinates. If the endpoints are A and B, and the midpoint is M, the equation for this is ...

M = (A+B)/2

Solving for B, we get ...

2M = A + B

2M - A = B

This tells us we can find the other endpoint by subtracting the coordinates of the given endpoint from twice the midpoint coordinates. (It is useful to remember this.)

B = 2(1, -2) - (3, -6) = (2-3, 2(-2)-(-6)) = (-1, 2)

The other endpoint is (-1, 2).

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You can also graph the points and find one as far from center as the given endpoint is.