## Calculus 8th Edition

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