# How do you write the slope intercept form of the line 4x-y=1?

Apr 19, 2017

$y = 4 x - 1$

#### 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.

$\text{Rearrange " 4x-y=1" into this form}$

$\text{subtract 4x from both sides.}$

$\cancel{4 x} \cancel{- 4 x} - y = - 4 x + 1$

$\Rightarrow - y = - 4 x + 1$

$\text{multiply through by -1}$

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