Question

write an equation in slope-intercept form for the line with y-intercept $-4$ and slope $-\frac{1}{3}$.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

Step2: Identify $m$ and $b$

We are given that the slope $m=-\frac{1}{3}$ and the $y$-intercept $b = - 4$.

Step3: Substitute $m$ and $b$ into the formula

Substitute $m = -\frac{1}{3}$ and $b=-4$ into $y=mx + b$. We get $y=-\frac{1}{3}x-4$.

Answer:

$y = -\frac{1}{3}x - 4$