Geometry: Common Core (15th Edition)

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

Chapter 5 - Relationships Within Triangles - 5-2 Perpendicular and Angle Bisectors - Practice and Problem-Solving Exercises - Page 299: 45



Work Step by Step

The equation of the line is already in slope-intercept form, which is given by the following formula: $y = mx + b$, where $m$ is the slope of the line and $b$ is the y-intercept of the line. Looking at the equation $y = -3x + 4$, we see that $m = -3$, but we are looking for a perpendicular line to this one. Perpendicular lines have slopes that are negative reciprocals of one another. This means that the product of their slopes equals $-1$. The negative reciprocal of $-3$ is $\frac{1}{3}$.
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