Chapter 9 Quadratic Relations and Conic Sections - 9.1 Apply the Distance and Midpoint Formulas - 9.1 Exercises - Skill Practice - Page 617: 33

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Find the midpoint of the line segment $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{-3+(-1)}{2},\frac{-6+2}{2})=(-2,-2)$ Calculate the slope of AB: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-6)}{-1-(-3)}=4$ Find the slope of the perpendicular bisector: $-\frac{1}{m}=-\frac{1}{4}$ Use point-slope form: $y+2=-\frac{1}{4}(x+2)$