Answer
$$\left(1,\:7\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(4-\left(-2\right)\right)^2+\left(9-5\right)^2}\\ 2\sqrt{13}$$
Using the midpoint formula, we find:
$$\left(\frac{4-2}{2},\:\frac{9+5}{2}\right)\\ \left(1,\:7\right)$$