# How do you find the equation of the line with y-intercept (0,6) and slope of -5/6?

Apr 25, 2017

See the solution process below:

#### Explanation:

The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

We are given the slope in the problem so we can substitute $- \frac{5}{6}$ for $m$ in the formula.

And, $\left(0 , 6\right)$ is the y-intercept so we can substitute $6$ for $b$ in the formula giving:

$y = \textcolor{red}{- \frac{5}{6}} x + \textcolor{b l u e}{6}$