# How do you find the slope and intercept of  4y = 8 - x?

May 20, 2017

$\text{slope "=-1/4," intercept } = 2$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ 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.

$\text{rearrange " 4y=8-x" into this form}$

$\text{divide ALL terms by 4}$

$\frac{\cancel{4} y}{\cancel{4}} = \frac{8}{4} - \frac{1}{4} x$

$\Rightarrow y = 2 - \frac{1}{4} x \text{ or}$

$y = - \frac{1}{4} x + 2 \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$

$\Rightarrow \text{slope "=-1/4," y-intercept } = 2$