# How do you determine the slope and y-intercept of the equation (3/5)x-7=y?

Jul 30, 2017

See a solution process below:

#### Explanation:

We can rewrite the equation in the problem as:

$y = \frac{3}{5} x - 7$

This equation is in slope intercept form. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

Therefore, for:

$y = \textcolor{red}{\frac{3}{5}} x - \textcolor{b l u e}{7}$

The slope is: $\textcolor{red}{\frac{3}{5}}$

The $y$-intercept is: $\textcolor{b l u e}{- 7}$ or $\left(0 , \textcolor{b l u e}{- 7}\right)$