Answer :
The expression for the mid point of the given two point is :
[tex]\text{ Mid Point(x,y) : x=}\frac{x_1+x_2}{2}\text{ \& y=}\frac{y_1+y_2}{2}[/tex]We have two coordinates (-5,9) and (5,5)
Substitute them in the expression of mid point an solve
[tex]\begin{gathered} \text{ Mid Point(x,y) : x=}\frac{x_1+x_2}{2}\text{ \& y=}\frac{y_1+y_2}{2} \\ We\text{ have (-5,9) \& (5,5) } \\ So,x_1=-5,x_2=5,y_1=9,y_2=5_{} \\ x=\frac{-5+5}{2} \\ x=0 \\ y=\frac{9+5}{2} \\ y=\frac{14}{2} \\ y=7 \\ So\text{ the Mid point(x,y) = (0,7)} \end{gathered}[/tex]The graph will be :
