Question

Find the missing endpoint, help

Answer 1

M = (13, - 6 )

Explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

L (- 9, 4 ) , let M = (x, y ) , then

`(-9+x)/(2)` = 2 ( multiply both sides by 2 )

- 9 + x = 4 ( add 9 to both sides )

x = 13

and

`(4+y)/(2)` = - 1 ( multiply both sides by 2 )

4 + y = - 2 ( subtract 4 from both sides )

y = - 6

Then

coordinates of M = (13, - 6 )