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

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Answer 1 · 2015-06-14T22:57:40

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

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]}