Answer
$$\left(\frac{11}{2},\:\frac{7}{2}\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(10-1\right)^2+\left(-2-9\right)^2}\\ \sqrt{202}$$
Using the midpoint formula, we find:
$$\left(\frac{10+1}{2},\:\frac{-2+9}{2}\right)\\ \left(\frac{11}{2},\:\frac{7}{2}\right)$$
