# How do you find the slope and intercept of 3x-y=5?

Mar 3, 2017

$\text{slope "=3," y-intercept } = - 5$

#### 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.

$\text{Rearrange " 3x-y=5" into this form}$

$3 x \cancel{- y} \cancel{+ y} = y + 5$

$\Rightarrow y + 5 = 3 x$

subtract 5 from both sides.

$y \cancel{= 5} \cancel{- 5} = 3 x - 5$

$\Rightarrow y = 3 x - 5 \leftarrow \textcolor{red}{\text{in form }} y = m x + b$

$\text{by comparison, slope "=3" and y-intercept } = - 5$