# How do you write y+1/3=5/6(x+2/5) in slope intercept form?

Jan 20, 2017

$y = \frac{5}{6} x$

#### Explanation:

Slope-intercept form looks like:
$y = \textcolor{red}{m} x + \textcolor{red}{b}$

where $\textcolor{red}{m}$ is the value of the SLOPE
and $\textcolor{red}{b}$ is the value of the $y$-INTERCEPT

1. Expand the left side of the equation:
$y + \frac{1}{3} = \frac{5}{6} x + \frac{10}{30}$

2. Reduce the fraction $\frac{10}{30}$
$y + \frac{1}{3} = \frac{5}{6} x + \textcolor{red}{\frac{1}{3}}$

3. Subtract $\frac{1}{3}$ from both sides of the equation:
$y + \frac{1}{3} \textcolor{red}{- \frac{1}{3}} = \frac{5}{6} x + \frac{1}{3} \textcolor{red}{- \frac{1}{3}}$

4. Simplify:
$y = \frac{5}{6} x + \textcolor{red}{0}$

$y = \frac{5}{6} x$