Answer
$(-4,\frac{7}{2})$
Work Step by Step
Let $P=(x_{1},y_{1})=(-2,-5)$ and $Q=(x_{2},y_{2})=(-6,12)$.
The midpoint formula is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$.
Substituting the values,
$(\frac{-2-6}{2},\frac{-5+12}{2})=(\frac{-8}{2},\frac{7}{2})=(-4,\frac{7}{2})$.
Therefore, the coordinates of the midpoint are: $(-4,\frac{7}{2})$.