Chapter 9 Quadratic Relations and Conic Sections - 9.1 Apply the Distance and Midpoint Formulas - 9.1 Exercises - Skill Practice - Page 617: 14

$$\left(-\frac{7}{2},\:-\frac{7}{2}\right)$$

Using the distance formula, we find: $$\sqrt{\left(-16-9\right)^2+\left(-16-9\right)^2}\\ 25\sqrt{2}$$ Using the midpoint formula, we find: $$\left(\frac{-16+9}{2},\:\frac{-16+9}{2}\right)\\ \left(-\frac{7}{2},\:-\frac{7}{2}\right)$$