# How do you write the equation of a line which has a y-intercept of -4 and a slope of 2/3?

Oct 21, 2016

$y = \frac{2}{3} x - 4$

#### 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.

here $m = \frac{2}{3} \text{ and } b = - 4$

$\Rightarrow y = \frac{2}{3} x - 4 \text{ is the equation of the line }$