#### Answer

$(-\frac{15}{2},1)$

#### Work Step by Step

Let $P=(x_{1},y_{1})=(-6,-5)$ and $Q=(x_{2},y_{2})=(-9,7)$
The midpoint formula is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$.
Substituting the values:
Midpoint=$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$
Midpoint=$(\frac{-6-9}{2},\frac{-5+7}{2})$
Midpoint=$(\frac{-15}{2},\frac{2}{2})$
Midpoint=$(\frac{-15}{2},1)$
Therefore, the coordinates of the midpoint are:$(-\frac{15}{2},1)$