Answer
$$\left(-\frac{9}{2},\:\frac{3}{2}\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(-3-\left(-6\right)\right)^2+\left(5-\left(-2\right)\right)^2}\\ \sqrt{58}$$
Using the midpoint formula, we find:
$$\left(\frac{-3-6}{2},\:\frac{5-2}{2}\right)\\ \left(-\frac{9}{2},\:\frac{3}{2}\right)$$