# How do you find the slope of the line parallel to 2x - y = 16?

Apr 24, 2017

$\text{slope } = 2$

#### Explanation:

$\text{ we need to know the following.}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{\text{parallel lines have equal slopes}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

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

$\text{rearrange " 2x-y=16" into this form}$

$\text{subtract 2x from both sides}$

$\cancel{2 x} \cancel{- 2 x} - y = 16 - 2 x$

$\Rightarrow - y = 16 - 2 x$

$\text{multiply all terms by - 1}$

$\Rightarrow y = 2 x - 16$

$\Rightarrow \text{slope } = m = 2$

$\text{hence slope of parallel line } = 2$