Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises: 22

Answer

$$y=4/3x$$

Work Step by Step

We know that if the slope of two lines are opposite reciprocals, they are perpendicular. Thus, we find the opposite reciprocal of the given line and plug in the given point into the point-slope equation for a line, which is: $$y_2-y_1=m(x_2-x_1)$$ Since the road goes through the point 0,0, this gives: $$y-0 = 4/3(x-0)$$ $$y=4/3x$$
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