# How do you write an equation of a line with slope -15/11 and y intercept (0,-9)#?

Dec 26, 2016

$y = - \frac{15}{11} x - 9$

#### Explanation:

To write this equation we will use the slope-intercept formula.

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.

In this problem we are give:

$\textcolor{red}{m} = - \frac{15}{11}$

and

$\textcolor{b l u e}{b} = - 9$

Substituting these into the formula gives:

$y = \textcolor{red}{- \frac{15}{11}} x + \textcolor{b l u e}{- 9}$

$y = \textcolor{red}{- \frac{15}{11}} x - \textcolor{b l u e}{9}$