# How do you identify the slope for 2x-3y=12?

Apr 1, 2018

Slope ($m$)=$\frac{2}{3}$

#### Explanation:

We can determine our slope by changing this equation to slope-intercept form, $y = m x + b$, where $m$ is our slope.

We have

$2 x - 3 y = 12$

We can start by subtracting $2 x$ from both sides to get:

$- 3 y = - 2 x + 12$

Our last step would be to divide both sides of the equation by $- 3$. We get:

$y = \frac{2}{3} x - 4$

When we're in slope-intercept form, the slope is the coefficient on the $x$ term. We see that the coefficient of $x$ is $\frac{2}{3}$, so this is the slope.

$m = \frac{2}{3}$

Hope this helps!

Apr 1, 2018

$\text{slope } = \frac{2}{3}$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$\text{rearrange "2x-3y=12" into this form}$

$\Rightarrow - 3 y = - 2 x + 12 \leftarrow \text{divide all terms by } - 3$

$\Rightarrow y = \frac{2}{3} x - 4 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\Rightarrow \text{rslope m } = \frac{2}{3}$