# What is the slope and intercept of x+9y=5?

Jan 25, 2017

The slope is $\textcolor{red}{m = - \frac{1}{9}}$

The y-intercept is $\textcolor{b l u e}{b = \frac{5}{9}}$

#### Explanation:

To find the slope and intercept of this equation it must be in the slope-intercept form.

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.

Solving for $y$ gives:

$x - \textcolor{red}{x} + 9 y = - \textcolor{red}{x} + 5$

$0 + 9 y = - x + 5$

$9 y = - x + 5$

$\frac{9 y}{\textcolor{red}{9}} = \frac{- x + 5}{\textcolor{red}{9}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}} y}{\cancel{\textcolor{red}{9}}} = - \frac{x}{9} + \frac{5}{9}$

$y = \textcolor{red}{- \frac{1}{9}} x + \textcolor{b l u e}{\frac{5}{9}}$

The slope is $\textcolor{red}{m = - \frac{1}{9}}$

The y-intercept is $\textcolor{b l u e}{b = \frac{5}{9}}$