Question

The midpoint of AB is M (5, -7). If the coordinates of A are (2, -8), what are the coordinates of B?

Answer 1

B(8, -6)

Explanation:

The x-coordinate of the midpoint of a segment is the average of the x-coordinates of the x-coordinates of the endpoints.

(2 + x)/2 = 5

2 + x = 10

x = 8

The y-coordinate of the midpoint of a segment is the average of the y-coordinates of the y-coordinates of the endpoints.

(-8 + y)/2 = -7

-8 + y = -14

y = -6

B(8, -6)