Chapter 9 Quadratic Relations and Conic Sections - 9.1 Apply the Distance and Midpoint Formulas - 9.1 Exercises - Skill Practice - Page 617: 32

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Find the midpoint of the line segment $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{-5+1}{2},\frac{8+6}{2})=(-2,7)$ Calculate the slope of AB: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{8-6}{1+5}=\frac{1}{3}$ Find the slope of the perpendicular bisector: $-\frac{1}{m}=-3$ Use point-slope form: $y-7=-3(x+2)$