(2,8)
Explanation
Step 1
to find the midpoint use:
[tex]\text{midpoint}=\lbrack\frac{x_1+x_{_2}_{}_{}}{2},\text{ }\frac{y_1+y_2}{2}\rbrack[/tex]where
[tex](x_1,y_1)and(x_2,y_2)\text{ are the coordinates of the known points}[/tex]Step 2
Let
[tex]\begin{gathered} P1=(x_1,y_1)=\text{ A(-5,9)} \\ P2=(x_2,y_2)=\text{ B(9,7)} \\ \end{gathered}[/tex]Step 3
replace
[tex]\begin{gathered} \text{midpoint}=\lbrack\frac{-5+9}{2},\text{ }\frac{9+7}{2}\rbrack \\ \text{midpoint}=\lbrack\frac{x_1+x_2}{2},\text{ }\frac{y_1+y_2}{2}\rbrack \\ \text{midpoint}=\lbrack2,8\rbrack \end{gathered}[/tex]