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

Jun 14, 2015

$y = - 3 x - 3$ is a straight line of slope $- 3$ intercepting the $y$ axis at $\left(0 , - 3\right)$ and the $x$ axis at $\left(- 1 , 0\right)$

#### Explanation:

To find the intercept with the $y$ axis, substitute $x = 0$ into the equation of the line to find:

$y = - 3 \cdot 0 - 3 = - 3$

So the $y$ intercept is at $\left(0 , - 3\right)$

To find the intercept with the $x$ axis, substitute $y = 0$ into the equation of the line to find:

$0 = - 3 x - 3$

Add $3 x$ to both sides to get:

$3 x = - 3$

Divide both sides by $3$ to get:

$x = - 1$

So the $x$ intercept is at $\left(- 1 , 0\right)$

graph{-3x-3 [-10, 10, -5, 5]}