Question

identify the slope and y-intercept for the linear equation below. $y = -\frac{1}{5}x - 3$ slope = $y$-intercept =

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 slope

For the equation $y=-\frac{1}{5}x - 3$, comparing with $y = mx + b$, we can see that $m = -\frac{1}{5}$. So the slope is $-\frac{1}{5}$.

Step3: Identify y - intercept

Again, comparing $y=-\frac{1}{5}x - 3$ with $y = mx + b$, we see that $b=- 3$. So the $y$-intercept is $-3$.

Answer:

slope = $-\frac{1}{5}$
y - intercept = $-3$