# How do you graph 3x-y=3 using intercepts?

Sep 15, 2017

Rearrange the equation in terms of $y$.

Subtract $3 x$ from both sides:

$- y = - 3 x + 3$

Multiply by $- 1$

$y = 3 x - 3$

The $y$ axis intercept is $- 3$ this occurs when $x$ is $0$

Rearranging in terms of $x$

$x = \frac{y + 3}{3}$

The $x$ axis intercept occurs when $y = 0$

$x = \frac{0 + 3}{3} = 1$

The coordinates for graphing are:

$\left(0 , - 3\right) \mathmr{and} \left(1 , 0\right)$