# What is the slope and intercept of y+2.5=5.5x?

Apr 10, 2017

See the entire solution process below:

#### Explanation:

The easiest way to find the slope and y-intercept is to put this equation into slope-intercept form by solving for $y$. 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.

$y + 2.5 - \textcolor{red}{2.5} = 5.5 x - \textcolor{red}{2.5}$

$y + 0 = 5.5 x - 2.5$

$y = \textcolor{red}{5.5} x - \textcolor{b l u e}{2.5}$

Therefore:

The slope is: $\textcolor{red}{m = 5.5}$

The y-intercept is: $\textcolor{b l u e}{b = - 2.5}$ or $\left(0 , - 2.5\right)$