In order to determine the midpoint between the given points, use the following expressions for the x and y coordiantes of the midpoint:
![\begin{gathered} x=(x_1+x_2)/(2) \\ y=(y_1+y_2)/(2) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/b0czi68ogdgtgyp4raf0eetr5yxi1n4oy2.png)
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)
![\begin{gathered} x=(5+5)/(2)=(10)/(2)=5 \\ y=(-7+7)/(2)=0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lvvourxexk68bcu7kkkpggia449q6nkim8.png)
Hence, the coordinates of the midpoint is (5,0)