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

1 Answer
Jul 6, 2015

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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.