# How do you find the slope and intercept of y = -2/3x + 20?

Jun 6, 2016

slope$= - \frac{2}{3}$
y-intercept = 20

#### 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 is the slope and b, the y-intercept.

The advantage of having the line in this form is that m and b can be extracted 'easily'

The equation $y = - \frac{2}{3} x + 20 \text{ is in this form}$

hence slope$= - \frac{2}{3} \text{ and y-intercept} = 20$