#### Answer

$(-\frac{11}{2},-2)$

#### Work Step by Step

Let $P=(x_{1},y_{1})=(4,-6)$ and $Q=(x_{2},y_{2})=(-15,2)$
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=$(\frac{4-15}{2},\frac{-6+2}{2})$
Midpoint=$(\frac{-11}{2},\frac{-4}{2})$
Midpoint=$(\frac{-11}{2},-2)$
Therefore, the coordinates of the midpoint are $(-\frac{11}{2},-2)$.