Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 9 Quadratic Relations and Conic Sections - 9.1 Apply the Distance and Midpoint Formulas - 9.1 Exercises - Skill Practice - Page 617: 31

Answer

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Work Step by Step

Find the midpoint of the line segment $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{3+7}{2},\frac{8+14}{2})=(5,11)$ Calculate the slope of AB: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{14-8}{7-3}=\frac{3}{2}$ Find the slope of the perpendicular bisector: $-\frac{1}{m}=-\frac{2}{3}$ Use point-slope form: $y-11=-\frac{2}{3}(x-5)$
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