SOLUTION: find the intercepts and then use them to graph the equation. y= -3-3x

Algebra ->  Graphs -> SOLUTION: find the intercepts and then use them to graph the equation. y= -3-3x      Log On


   



Question 157951: find the intercepts and then use them to graph the equation.
y= -3-3x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=+-3-3x Start with the given equation


y=+-3x-3 Rearrange the terms.




x-intercept


To find the x-intercept, plug in y=0 and solve for x


y=-3x-3 Start with the given equation.


0=-3x-3 Plug in y=0.


3=-3x Add 3 to both sides.


-1=x Divide both sides by -3 to isolate x


So the solution is x=-1


So the x-intercept is .


------------------------------------------


y-intercept


To find the y-intercept, plug in x=0 and solve for y


y=-3x-3 Start with the given equation.


y=-3%280%29-3 Plug in x=0.


y=-0-3 Multiply -3 and 0 to get 0.


y=-3 Combine like terms.


So the y-intercept is .



So we have these intercepts:
x-intercept:

y-intercept:



Now plot the two points and




Now draw a line through the two points to graph y=-3x-3
graph of -3x-3 through the x-intercept and the y-intercept