SOLUTION: Find the x- and y-intercepts for this equation. Then graph the equation. 9y - 3x = -6

Algebra ->  Graphs -> SOLUTION: Find the x- and y-intercepts for this equation. Then graph the equation. 9y - 3x = -6      Log On


   

Question 522897: Find the x- and y-intercepts for this equation. Then graph the equation.
9y - 3x = -6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
9y+-+3x+=+-6 Start with the given equation.


-3x%2B9y+=+-6 Rearrange the terms.



Now let's find the x and y intercepts.

x-intercept


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


-3x%2B9y+=+-6 Start with the given equation.


-3x%2B9%280%29+=+-6 Plug in y=0.


-3x%2B0+=+-6 Multiply 9 and 0 to get 0.


-3x+=+-6 Simplify.


x=%28-6%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=2 Reduce.


So the x-intercept is .


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


y-intercept


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


-3x%2B9y+=+-6 Start with the given equation.


-3%280%29%2B9y+=+-6 Plug in x=0.


-0%2B9y+=+-6 Multiply -3 and 0 to get 0.


9y+=+-6 Simplify.


y=%28-6%29%2F%289%29 Divide both sides by 9 to isolate y.


y=-2%2F3 Reduce.


So the y-intercept is .


Now let's plot the points and which are the x and y intercepts respectively.





Now draw a straight line through the plotted points to graph -3x%2B9y=-6.


Graph of -3x%2B9y=-6


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