# How do you write an equation of a line given slope 1/3 and y-intercept (0, -6)?

Sep 22, 2016

$y = \frac{1}{3} x - 6$

#### 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.

here $m = \frac{1}{3} \text{ and y-intercept} = - 6$

$\Rightarrow y = \frac{1}{3} x - 6 \text{ is the equation}$