# How do you find the slope given 2x-3y=12?

Mar 29, 2018

$\frac{2}{3}$

#### Explanation:

So you want to put the equation back into the linear equation $y = m x + c$

As $m$ is the slope

Minus $2 x$ from both sides
$- 3 y = 12 - 2 x$

Divide by -3 on both sides

$y = \frac{12 - 2 x}{-} 3$

Break the Right hand side into two fractions

$y = \frac{12}{-} 3 + \frac{- 2}{-} 3 x$ or $y = \frac{- 2}{-} 3 x + \frac{12}{-} 3$

Simplfy

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

So the slope is $\frac{2}{3}$