# What is the slope and x intercept of the line 3x - 2y = 12?

May 19, 2018

Need to format the equation in $y = m x + b$.

#### Explanation:

3x−2y = 12

$3 x - 12 = 2 y$

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

$y = \frac{3}{2} x - 6$

The slope is $\frac{3}{2}$ or $1 \frac{1}{2}$. The $x$-intercept is at $y = 0$, hence

$2 y = 3 x - 12$

$2 \left(0\right) = 3 x - 12$

$0 = 3 x - 12 \text{ }$ (isolate $x$ for the intercept)

$12 = 3 x$

$\frac{12}{3} = \frac{3 x}{3}$

$4 = x$

The intercepts are

• $x = 0 : \text{ } y = - 6$
• $x = 4 : \text{ } y = 0$