Answer
$\left(\dfrac{-3}{2},-2\right)$
Work Step by Step
The midpoint $M$ of the line segment from $P_1(x_1,y_1)$ to $P_2(x_2,y_2)$ is: $\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$.
Hence,
$M=\left(\dfrac{3+(-6)}{2},\dfrac{-4+0}{2}\right)=\left(\dfrac{-3}{2},-2\right)$.