Question

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

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: Compare with given equation

The given equation is $y=-\frac{1}{3}x$. We can rewrite it as $y = -\frac{1}{3}x+0$.
By comparing with $y = mx + b$, we see that $m = -\frac{1}{3}$ (this is the slope) and $b = 0$ (this is the $y$ - intercept).

Answer:

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