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

Nov 27, 2015

$x$ intercept is at $x = - \frac{1}{3}$ and $y$ intercept is at $y = 1$

#### Explanation:

The intercept for the y-axis has to be when $x = 0$
The intercept for the x-axis has to be when $y = 0$

$\textcolor{b l u e}{\text{To find the y intercept}}$
so substitute 0 for $x$ in the equation giving:

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

$y = 1$

$\textcolor{b l u e}{\text{To find the x intercept}}$
Substitute 0 for $y$ in the equation giving:

$0 = 3 x + 1$

Subtract 1 from both sides

$0 - 1 = 3 x + 1 - 1$

$3 x = - 1$

Divide both sides by 3

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

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