# How do you write y+3/5=x-2/5 in slope intercept form?

Dec 24, 2016

$y = x - 1$

#### Explanation:

The slope intercept form of an 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.

Solving for $y$ gives:

$y + \frac{3}{5} - \textcolor{g r e e n}{\frac{3}{5}} = x - \frac{2}{5} - \textcolor{g r e e n}{\frac{3}{5}}$

$y + 0 = x + \frac{- 2 - 3}{5}$

$y = x + \frac{- 5}{5}$

$y = x + \left(- 1\right)$

$y = x - 1$