# How do you write the equation y-10=4(x+6) in slope intercept form?

Jan 24, 2017

$y = 4 x + 34$

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and b, they-intercept.

$\text{Rearrange " y-10=4(x+6)" into this form}$

distribute the bracket.

$y - 10 = 4 x + 24$

$y \cancel{- 10} \cancel{+ 10} = 4 x + 24 + 10$
$\Rightarrow y = 4 x + 34 \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$