# How do you write the equation y-5=-2/5(x+15) in slope intercept form?

Mar 14, 2017

$y = - \frac{2}{5} x - 1$

#### 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.

$\text{Rearrange "y-5=-2/5(x+15)" into this form}$

distribute bracket and simplify.

$y - 5 = - \frac{2}{5} x - 6$

$\Rightarrow y = - \frac{2}{5} x - 6 + 5$

$\Rightarrow y = - \frac{2}{5} x - 1 \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$