# How do you find the slope and intercept of 4x-1/3y=-2?

Jan 26, 2016

$m = 12$ and $b = 6$.

#### Explanation:

The equation of a line in slope-intercept form is $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

$4 x - \frac{1}{3} y = - 2$

To convert this equation to slope-intercept form, solve for $y$.

Subtract $4 x$ from both sides.

$- \frac{1}{3} y = - 2 - 4 x$

Simplify $- \frac{1}{3} y$ to $- \frac{y}{3}$

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

Multiply both sides times $3$.

$- y = - 2 \left(3\right) - 4 x \left(3\right)$

Simplify.

$- y = - 6 - 12 x$

Rearrange the right side.

$- y = - 12 x - 6$

Multiply both sides times $- 1$.

$y = 12 x + 6$

$m = 12$ and $b = 6$.