# How do you find the slope and intercept of 4-1/3y=6x?

Mar 4, 2016

slope: -18x
y intercept: 12

#### Explanation:

We must put your equation into y=mx+b form. To do this, we must use algebra!

$4 - \frac{1}{3} y = 6 x$

Keep the y on the left side, and move everything else over. Don't forget to change their operation when moving an expression to its opposite side (positive to negative, or negative to positive).

$- \frac{1}{3} y = 6 x - 4$

Next, to get y by itself, we must divide everything by $- \frac{1}{3}$.

$\frac{- \frac{1}{3} y}{- \frac{1}{3}} = \frac{6 x}{- \frac{1}{3}} \frac{- 4}{- \frac{1}{3}}$

There's your final equation in y=mx+b form! From here, you can easily spot the slope and y intercept.

$y = - 18 x + 12$