Question

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

Answer 1

The blue line on the graph.

Explanation:

We want to draw `y=-3x-3`

Your equation is a linear equation because you can find 2 integers `a` and `b` such as : `y = a*x+b`

(Here `a=-3` and `b=-3`)

The representative curve of a linear equation is a straight line!

As you know, we need only 2 points to draw a straight line.

We have to choose 2 points on our equation :

For example `A(-1,f(-1))` and `B(0,f(0))`

`f(color(red)(-1))=-3*(color(red)(-1))-3 = 3 - 3 = 0`

`f(color(red)(0))=-3*(color(red)(0))-3 = 0 - 3 = -3`

Now, we know the coordinates of `A` and `B` :
`A(-1,0) , B(0,-3)`

Spot `A` and `B` on the graph, and draw the straight line passing by this two points.