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

1 Answer
Jul 6, 2015

Answer:

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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.