# How do you write y+2=1/6(x-4) in slope intercept form?

Mar 9, 2017

$y = \frac{1}{6} x - \frac{8}{3}$

#### 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, the y-intercept.

$\text{Rearrange "y+2=1/6(x-4)" into this form}$

distribute bracket and simplify.

$y + 2 = \frac{1}{6} x - \frac{2}{3}$

$\Rightarrow y = \frac{1}{6} x - \frac{2}{3} - 2$

$\Rightarrow y = \frac{1}{6} x - \frac{8}{3} \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$