# What is the slope and y-intercept of the line y=3x+2 ?

Jan 16, 2017

The slope is $3$ and the y-intercept is $2$ or (0, 2).

See full explanation 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.

Because the equation in the problem is already in slope intercept form we can directly extract the slope and the y-intercept:

$y = \textcolor{red}{3} x + \textcolor{b l u e}{2}$

Therefore:

The slope is $\textcolor{red}{m = 3}$

The y-intercept is $\textcolor{b l u e}{b = 2}$ or (0, 2)