Question

If Q is the midpoint of PR, find the coordinates of R if P(11, -2) and Q(4,3)

Answer 1

Answer:

R = (- 3, 8 )

Step-by-step explanation:

Using the midpoint formula , equate the coordinates to the corresponding coordinates of Q.

let R = (x, y ) , then

$\frac{1}{2}$ (x + 11 ) = 4 ( multiply both sides by 2 )

x + 11 = 8 (subtract 11 from both sides )

x = - 3

$\frac{1}{2}$ (- 2 + y) = 3 ( multiply both sides by 2 )

- 2 + y = 6 ( add 2 to both sides )

y = 8

Thus

R = (- 3, 8 )