# How do you find the slope and y intercept for: 6x - 3y=18 ?

Oct 9, 2015

Slope: $2$
y-intercept: $- 6$

#### Explanation:

Method 1
For a linear equation in the standard form $A x + B y = C$
the slope is $m = - \frac{A}{B}$
In this case
$\textcolor{w h i t e}{\text{XXX}} m = - \frac{6}{- 3} = 2$

The y-intercept is the value of $y$ when $x = 0$
$\textcolor{w h i t e}{\text{XXX}} 6 \left(0\right) - 3 y = 18$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = - 6$

Method 2
Convert $6 x - 3 y = 18$ into slope-intercept form: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$
$\textcolor{w h i t e}{\text{XXX}} 6 x - 3 y = 18$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow - 3 y = - 6 x + 18$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = \textcolor{red}{2} x + \textcolor{b l u e}{\left(- 6\right)}$