Answer: c) (11,-2)
Step-by-step explanation:
The formula for calculate a midpoint is:
[tex]M=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
You know that R is the midpoint of segment PS and P is located at (8,10), and S is located at (12,-6). Then you can substitute these coordinates into the formula to find the coordinates of the midpoint R:
[tex]M_{R}=(\frac{12+8}{2}, \frac{10+(-6)}{2})=(10,2)[/tex]
Now, knowing the coordinates of R and S, you can substitute them into the formula to find the coordinates of the midpoint Q of segment RS. Then:
[tex]M_{Q}=(\frac{10+12}{2}, \frac{2+(-6)}{2})=(11,-2)[/tex]
