# How do you find the x and y intercepts for y=3x+2?

Apr 13, 2018

The $y$-intercept is $2$
The $x$-intercept is $- \frac{2}{3}$

#### Explanation:

Since $y = 3 x + 2$ is in the form $y = m x + b$, the $y$-intercept must be $b$, or $2$. To find the $x$-intercept, set $y$ to $0$.
$0 = 3 x + 2$ Isolate $x$ and its coefficient.
$3 x = - 2$ Isolate $x$
$x = - \frac{2}{3}$
Therefore the $x$-intercept is $- \frac{2}{3}$