Algebra 2 (1st Edition)

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

Chapter 2 Linear Equations and Functions - 2.4 Write Equations of Lines - Guided Practice for Examples 2 and 3 - Page 99: 5b


$$ y+2=-\frac{1}{3}(x-4)$$

Work Step by Step

We know that point slope form is expressed as $y-y_1=m(x-x_1)$, where $(x_1,y_1)$ is a point on the line, and m is the slope of the line. Using this, we find that the equation of the line is: $$ y+2=-\frac{1}{3}(x-4)$$ **Since it is perpendicular to $y=3x-1$, its slope must be $-\frac{1}{3}$, which is the opposite reciprocal of 3.
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