# What is the inverse of the equation y=3x+2?

Jul 29, 2016

The inverse is $y = \frac{1}{3} x - \frac{2}{3}$.

#### Explanation:

In order to find the inverse of an equation, all we have to do is switch the variables $x$ and $y$:

$x = 3 y + 2$

From here, just solve for $y$:

$3 y = x - 2$

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