Question

The midpoint M of RS has coordinates (4, 6). Point S has coordinates (2, 5). Find the

coordinates of point R.

Answer 1

Point R has coordinates (6, 7).

The midpoint is the coordinate exactly halfway between two points. Since S is known, first figure out the difference between the coordinates.
Moving from (2, 5) to (4, 6) is right 2 (x-axis) and up 1 (y-axis).
Add this same translation to the midpoint to find point R.
(4 + 2, 6 + 1) = R
R=(6, 7)

We can check this coordinate using the midpoint formula:
(4, 6) = ((2+6)/2, (5+7)/2)
(4,6) = (4, 6)
True!