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