# How do you find the slope and the y-intercept of the line -4x+2y=-2?

Jan 12, 2017

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

#### 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.

The advantage to having the equation in this form is that m and b may be extracted 'easily'

Rearrange the given equation into this form.

$\cancel{- 4 x} \cancel{+ 4 x} + 2 y = - 2 + 4 x$

$\Rightarrow 2 y = 4 x - 2$

To obtain y as the subject, divide ALL terms on both sides by 2

$\frac{\cancel{2} y}{\cancel{2}} = \frac{4}{2} x - \frac{2}{2}$

$\Rightarrow y = 2 x - 1 \leftarrow \text{ in form y = mx + b}$

Extracting m and b gives.

$\text{slope " =m=2" and y-intercept } = b = - 1$