# How do you write the equation in slope intercept form given 10x - 5y = -20?

Apr 2, 2016

$y = 2 x + 4$

#### Explanation:

Slope intercept form is represented as:

y = mx + c,
where, m is slope and c is y-intercept.

Our objective is to convert the given equation into this form, with only y on the LHS with a coefficient +1. This can be done as follows:

Given,

$10 x - 5 y = - 20$
$\text{or,} - 5 y = - 10 x - 20$
$\text{or,} \cancel{- 5} y = \cancel{- 5} \left(2 x + 4\right)$
$\text{Therefore, } y = 2 x + 4$