# How do you write an equation of a line with slope of a line is -1/5 , and the y-intercept is 5?

Jul 13, 2016

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

#### 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 $= - \frac{1}{5} \text{ and } b = 5$

Substituting these values into the equation gives.

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = - \frac{1}{5} x + 5} \textcolor{w h i t e}{\frac{a}{a}} |}}} \text{ is the equation}$