Question

use the equation to answer the questions below.
$y = \frac{-5}{3}x$
what is the y - intercept?
what is the slope?

Explanation:

For the y - intercept:

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 $y=\frac{-5}{3}x$. We can rewrite it as $y=\frac{-5}{3}x + 0$. By comparing with $y = mx + b$, we see that $b = 0$.

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 the slope

In the equation $y=\frac{-5}{3}x$, when we compare it with $y = mx + b$, the coefficient of $x$ (which is $m$) is $\frac{-5}{3}$.

Answer:

The y - intercept is $0$.

For the slope: