[tex]M=(-1,-3)[/tex]
1) We can find the location of the Midpoint of that segment, by using a formula. So let's plug into that formula, the endpoints C (1,-7) and (-3,1):
[tex]\begin{gathered} M=(\frac{x_1+x_2}{2},\frac{y_1_{}+y_2}{2}) \\ M=(\frac{1+(-3)}{2},\frac{-7+1}{2}) \\ M=(\frac{-2}{2},\frac{-6}{2}) \\ M=(-1,-3) \end{gathered}[/tex]
Note that the midpoint is the average of the coordinates of those endpoints.
2) Thus the answer is:
[tex]M=(-1,-3)[/tex]
