# How do you find the slope and intercept of 2x = 1/2y + 2?

Feb 11, 2017

$\text{slope "=4," y-intercept } = - 4$

#### 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.

$\text{Rearrange " 2x=1/2y+2" into this form}$

$\frac{1}{2} y + 2 = 2 x \leftarrow \text{ reversing the equation}$

subtract 2 from both sides.

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

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

multiply terms on both sides by 2

$y = 4 x - 4 \leftarrow \textcolor{red}{\text{ in form y=mx+b}}$

$\Rightarrow \text{slope "=m=4" and y-intercept } = b = - 4$
graph{4x-4 [-10, 10, -5, 5]}