# How do you write 2x - 5y = 10 in slope intercept form?

Dec 21, 2016

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

#### Explanation:

Given -

$2 x - 5 y = 10$

Solve it for $y$
Add $- 2 x$ to both sides

$2 x - 2 x - 5 y = 10 - 2 x$
$\cancel{2 x} \cancel{- 2 x} - 5 y = 10 - 2 x$

Divide both sides by $- 5$

$\frac{- 5 y}{- 5} = \frac{10 - 2 x}{- 5}$

$\frac{\cancel{- 5} y}{\cancel{- 5}} = \frac{10 - 2 x}{- 5}$
$y = \frac{10 - 2 x}{- 5}$
$y = \frac{10}{- 5} - \frac{2 x}{- 5}$
$y = - 2 + \frac{2}{5} x$