Chapter 9 Quadratic Relations and Conic Sections - 9.1 Apply the Distance and Midpoint Formulas - 9.1 Exercises - Skill Practice - Page 617: 35

See below

Find the midpoint of the line segment $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{-3+9}{2},\frac{-5-2}{2})=(3,-\frac{7}{2})$ Calculate the slope of AB: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{-2+5}{9+3}=\frac{1}{4}$ Find the slope of the perpendicular bisector: $-\frac{1}{m}=-4$ Use point-slope form: $y+\frac{7}{2}=-4(x-3)$