Question

TEXT ANSWER

Question 8
Point M is the midpoint of PQ. The coordinates of P and M are given below.
M(5,-2) and P(11, - 10)
Based on this information, what are the coordinates of ?
Show all work and provide any necessary descriptions.

Answer 1

Q (- 1, 6 )

Explanation:

use the midpoint formula to find the coordinates of M then equate the x and y coordinates with the actual coordinates of M

P (11, - 10) and let Q = (x, y ) , then

`(11+x)/(2)` = 5 ( multiply both sides by 2 )

11 + x = 10 ( subtract 11 from both sides )

x = - 1

and

`(-10+y)/(2)` = - 2 ( multiply both sides by 2 )

- 10 + y = - 4 ( add 10 to both sides )

y = 6

coordinates of Q = (- 1, 6 )