In order to determine the midpoint between the given points, use the following expressions for the x and y coordiantes of the midpoint:
[tex]\begin{gathered} x=\frac{x_1+x_2}{2} \\ y=\frac{y_1+y_2}{2} \end{gathered}[/tex]where (x1,y1) and (x2,y2) are the coordinates of the given points.
In this case. you have:
(x1,y1) = (5,-7)
(x2,y2) = (5,7)
[tex]\begin{gathered} x=\frac{5+5}{2}=\frac{10}{2}=5 \\ y=\frac{-7+7}{2}=0 \end{gathered}[/tex]Hence, the coordinates of the midpoint is (5,0)