# How do you find the slope and y-intercept given x+3y = -6?

May 23, 2018

Convert the equation to the $y = m x + b$ form

#### Explanation:

in the $y = m x + b$ for

m - = the slope think m mountain ski slope.
b = the y intercept think b beginning where x = 0

Move the x to the right side of the equation.

$x - x + 3 y = - x + - 6$ The result is

$3 y = - x + - 6$

Divide both sides by 3 to change 3y to 1y

$3 \frac{y}{3} = - 1 \frac{x}{3} + - \frac{6}{3}$ This gives

$y = - \frac{1}{3} x + - 2$

m the slope = $- \frac{1}{3}$

b the y intercept = $- 2$

May 23, 2018

$m = - \frac{1}{3}$

y-int = -2

#### Explanation:

Slope intercept form is:

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

$\textcolor{red}{m} =$slope
$\textcolor{b l u e}{b} =$y-int

$x + 3 y = - 6$

$3 y = - x - 6$

$y = \textcolor{red}{- \frac{1}{3}} x \textcolor{b l u e}{- 2}$

$m = - \frac{1}{3}$

y-int = -2