Chapter 9 Quadratic Relations and Conic Sections - 9.1 Apply the Distance and Midpoint Formulas - 9.1 Exercises - Skill Practice - Page 617: 8

$$\left(\frac{9}{2},\:1\right)$$

Using the distance formula, we find: $$\sqrt{\left(8-1\right)^2+\left(4-\left(-2\right)\right)^2} \\ \sqrt{85}$$ Using the midpoint formula, we find: $$\left(\frac{8+1}{2},\:\frac{4-2}{2}\right)\\ \left(\frac{9}{2},\:1\right)$$