Answer
$$\left(-2,\:-4\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(2-\left(-6\right)\right)^2+\left(-3-\left(-5\right)\right)^2}\\ 2\sqrt{17}$$
Using the midpoint formula, we find:
$$\left(\frac{2-6}{2},\:\frac{-3-5}{2}\right)\\ \left(-2,\:-4\right)$$
