Question

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

Answer 1

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

Explanation:

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

`y = -3*0-3 = -3`

So the `y` intercept is at `(0, -3)`

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

`0 = -3x-3`

Add `3x` to both sides to get:

`3x = -3`

Divide both sides by `3` to get:

`x = -1`

So the `x` intercept is at `(-1, 0)`

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