# How do you find the slope-intercept of y - 3/5x = -1?

Aug 3, 2016

slope $= \frac{3}{5}$
y-intercept = - 1

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
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 $y - \frac{3}{5} x = - 1 \text{ into this form}$

add $\frac{3}{5} x \text{ to both sides of the equation}$

$y \cancel{- \frac{3}{5} x} \cancel{+ \frac{3}{5} x} = \frac{3}{5} x - 1 \Rightarrow \textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = \frac{3}{5} x - 1} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

$\Rightarrow \text{slope" =3/5" and y-intercept} = - 1$
graph{3/5x-1 [-10, 10, -5, 5]}