# How do you find the x and y intercepts for  y = 3x - 7?

Feb 1, 2016

The x-intercept is $\left(- \frac{7}{3} , 0\right)$.

The y-intercept is $\left(0 , - 7\right)$.

#### Explanation:

$y = 3 x - 7$

The x-intercept is the value for $x$ when $y = 0$.

Substitute $0$ for $y$.

$0 = 3 x - 7$

Subtract $3 x$ from both sides.

$- 3 x = - 7$

Divide both sides by $- 3$.

$x = - \frac{7}{3}$

The y-intercept is the value of $y$ when $x = 0$.

Substitute $0$ for $x$.

$y = 3 \left(0\right) - 7$

$y = - 7$

The x-intercept is $\left(- \frac{7}{3} , 0\right)$.
The y-intercept is $\left(0 , - 7\right)$

graph{y=3x-7 [-11.05, 10.715, -8.21, 2.675]}