Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 10 - Review Exercises - Page 486: 31c


$y-2d = \frac{-a}{b-e}(x-2c)$

Work Step by Step

The altitude goes through the point $(2c, 2d)$. We use the equation for slope: $m = \frac{y_2-y_1}{x_2-x_1}$ $m_{AC} = \frac{2b-2e}{2a-0}=\frac{b-e}{a}$ The altitude is perpendicular to this, so the slope of the altitude is the opposite reciprocal of this value, which is: $m= \frac{-a}{b-e}$ We have a point and a slope, so we use point slope form to find: $y-2d = \frac{-a}{b-e}(x-2c)$
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