Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix B - Coordinate Geometry and Lines - B Exercises - Page A15: 37


$y$-intercept: $y = 0$, slope: $m = \displaystyle -\frac{1}{3}$

Work Step by Step

The slope-intercept form of a line: $y = mx + b$ where $m$ is the slope and $b$ is the $y$-intercept. Isolate for $y$, $x+3y=0$ $3y=-x$ $\displaystyle y = -\frac{1}{3}x$ Thus, $y$-intercept: $y = 0$, slope: $m = \displaystyle -\frac{1}{3}$
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