Chapter 9 Quadratic Relations and Conic Sections - 9.3 Graph and Write Equations of Circles - 9.3 Exercises - Quiz for Lessons 9.1-9.3 - Page 632: 3

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

Using the distance formula, we find: $$\sqrt{\left(-4-\left(-5\right)\right)^2+\left(8-1\right)^2}\\ 5\sqrt{2}$$ Using the midpoint formula, we find: $$\left(\frac{-4-5}{2},\:\frac{8+1}{2}\right)\\ \left(-\frac{9}{2},\:\frac{9}{2}\right)$$