# What is the slope and intercept of y+5=2/3x?

Feb 12, 2017

The slope is $\textcolor{red}{m = \frac{2}{3}}$

The y-intercept is $\textcolor{b l u e}{b = - 5}$

#### Explanation:

We can find the slope and y-intercept by transforming this equation into the 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.

Solving for $y$ gives:

$y + 5 - \textcolor{b l u e}{5} = \frac{2}{3} x - \textcolor{b l u e}{5}$

$y + 0 = \frac{2}{3} x - \textcolor{b l u e}{5}$

$y = \textcolor{red}{\frac{2}{3}} x - \textcolor{b l u e}{5}$

Therefore:

The slope is $\textcolor{red}{m = \frac{2}{3}}$

The y-intercept is $\textcolor{b l u e}{b = - 5}$