Question

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

Answer 1

The coordinates of R would be (-3, 8)

In order to find this, we need to know that the value of Q's points will always be the average of P and R's points. This is because it is the midpoint. Therefore we can use the following formula.

Value of x

(P + R)/2 = Q

(11 + R)/2 = 4

11 + R = 8

R = -3

Then we can do the same for the y values

Value of y

(P + R)/2 = Q

(-2 + R)/2 = 3

-2 + R = 6

B = 8