# How do you write the equation of line given y-intercept of 5 and a slope of -1/3?

Aug 4, 2017

$y = - \frac{1}{3} x + 5$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{where m represents the slope and b the y-intercept}$

$\text{here "m=-1/3" and } b = 5$

$\Rightarrow y = - \frac{1}{3} x + 5 \text{ is the equation of the line}$