# How do you write an equation in slope-intercept form for a line with a y-intercept of 8 and a slope of -1/4?

May 15, 2016

$y = - \frac{1}{4} x + 8$

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

Here b = 8 and slope$= - \frac{1}{4}$

Substituting these values into the equation gives us:

$y = - \frac{1}{4} x + 8$