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

Jul 2, 2015

To find the x-intercept, set $y$ to zero and solve for $x$.
To find the y-intercept, set $x$ to zero and solve for $y$.

#### Explanation:

$y = 3 x - 3$

X-Intercept

$0 = 3 x - 3$

Add $3$ to both sides.

$3 = 3 x$

Divide both sides by $3$.

$1 = x$

Switch sides.

$x = 1$

Y-Intercept

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

$y = - 3$

graph{y=3x-3 [-12.87, 12.44, -7.24, 5.42]}