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

Apr 10, 2018

See explanation.

#### Explanation:

To find slope and $Y$ intercept you have to write the linear function in a form

## $y = a x + b$

Here you get:

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

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

$y = 12 x + 6$

When the function is in the form $y = a x + b$ we can write that:

• the slope is $a$,

• the $Y$ intercept is point $\left(0 , b\right)$

In the given function we have:

• slope $a = 12$

• $Y$ intercept is $\left(0 , 6\right)$