# How do you find m and b given -3x+y=6?

Jan 11, 2017

Solve for $y$ to put in slope-intercept form:

#### Explanation:

To find $m$ and $b$ solve for $y$ to put this equation in slope intercept form.

$\textcolor{red}{3 x} - 3 x + y = \textcolor{red}{3 x} + 6$

$0 + y = \textcolor{red}{3 x} + 6$

$y = 3 x + 6$

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.

$y = \textcolor{red}{3} x + \textcolor{b l u e}{6}$

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

The y-intercept is $\textcolor{b l u e}{b = 6}$ or (0, 6)