Answer
$$\left(-1,\:\frac{3}{2}\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(5-\left(-7\right)\right)^2+\left(3-0\right)^2}\\ 3\sqrt{17}$$
Using the midpoint formula, we find:
$$\left(\frac{5-7}{2},\:\frac{3+0}{2}\right)\\ \left(-1,\:\frac{3}{2}\right)$$