Answer
$$\left(6,\:5\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(8-4\right)^2+\left(8-2\right)^2}\\ 2\sqrt{13}$$
Using the midpoint formula, we find:
$$\left(\frac{8+4}{2},\:\frac{8+2}{2}\right)\\ \left(6,\:5\right)$$