# What is the slope-intercept form of 6x+3y=8 ?

Feb 15, 2016

$y = - 2 x + \frac{8}{3}$

#### Explanation:

The slope-intercept form is
$\textcolor{w h i t e}{\text{XXX}} y = \textcolor{b l u e}{m} x + \textcolor{red}{b}$
for a linear equation with a slope of $\textcolor{b l u e}{m}$ and a y-intercept of $\textcolor{red}{b}$

Given
$\textcolor{w h i t e}{\text{XXX}} 6 x + 3 y = 8$

Subtract $6 x$ from both sides
$\textcolor{w h i t e}{\text{XXX}} 3 y = - 6 x + 8$

Divide both sides by $3$
$\textcolor{w h i t e}{\text{XXX}} y = \textcolor{b l u e}{- 2} x = \textcolor{red}{\frac{8}{3}}$