# What is the y intercept of y-9x=17?

Dec 30, 2016

The y-intercept is 17.

#### Explanation:

We can find the y-intercept by solving for $y$ and putting this equation into 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 color(blue)(b is the y-intercept value.

$y - 9 x + \textcolor{red}{9 x} = \textcolor{red}{9 x} + 17$

$y - 0 = 9 x + 17$

$y = 9 x + 17$

This is now in the slope-intercept form:

$y = \textcolor{red}{9} x + \textcolor{b l u e}{17}$

Where $\textcolor{red}{9}$ is the slope and $\textcolor{b l u e}{17}$ is the y-intercept value.