# How do you find the x and y intercepts for y=3x+1?

Mar 22, 2018

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

$y = 1$

#### Explanation:

The $y$ intercept occurs where $x = 0$

$y = 3 \left(0\right) + 1 = 1$

$\boldsymbol{y}$ intercept is $\boldsymbol{1}$

The $x$ intercept occurs where $y = 0$

$3 x + 1 = 0$

$3 x = - 1$

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

$x$ intercept is $\boldsymbol{- \frac{1}{3}}$