Question

Find the coordinates of

the missing endpoint if M
is the midpoint of AB.
A(4, -8) and M(5,-2)

Answer 1

B = (6, 4)

Explanation:

You know that the midpoint is calculated as ...

M = (A +B)/2

Solving this for B, we find ...

2M = A + B

B = 2M - A

Filling in the coordinate values, we get ...

B = 2(5, -2) -(4, -8) = (2·5-4, 2(-2)+8)

B = (6, 4)