Points P and R are located at (1, 3) and (7, 15) respectively. Point M is the midpoint of segment PR. Segment PR is reflected over the x-axis. What is the sum of the coordinates of the image of point M (the midpoint of the reflected segment)?
Point P = (1,3)
Point R = (7,5)
First, let's find the coordinates of M, which is the midpoint of PR.
For x, half-way between 1 and 7 is 4.
For y, half-way between 3 and 15 is 9.
So the coordinates of M are (4,9).
This point is reflected over the x-axis -- which means that the x-value remains the same but
the y-value in now negative. This new point is (4,-9).
The sum of the coordinates of this image point is 4 + -9 = -5.