Answer: (10, 13)
Work Shown
- (2,5) = location of point R
- (x,y) = location of point S
- (6,9) = location of midpoint M
To get the x coordinate of the midpoint, we add the x coordinates of R and S. Then we divide in half.
(2+x)/2 = 6
2+x = 2*6
2+x = 12
x = 12-2
x = 10
Follow similar steps for the y coordinate.
(5+y)/2 = 9
5+y = 2*9
5+y = 18
y = 18-5
y = 13
Point S is located at (10,13)
I recommend using GeoGebra or Desmos to visually confirm this answer.