SOLUTION: How do you Graph the linear equation -9x - 6y = 54 by finding x and y intercepts

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Question 925483: How do you Graph the linear equation -9x - 6y = 54 by finding x and y intercepts
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-intercept


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


-9x-6y=54 Start with the given equation.


-9x-6%280%29=54 Plug in y=0.


-9x-0=54 Multiply -6 and 0 to get 0.


-9x=54 Simplify.


x=%2854%29%2F%28-9%29 Divide both sides by -9 to isolate x.


x=-6 Reduce.


So the x-intercept is .


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y-intercept


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


-9x-6y=54 Start with the given equation.


-9%280%29-6y=54 Plug in x=0.


0-6y=54 Multiply -9 and 0 to get 0.


-6y=54 Simplify.


y=%2854%29%2F%28-6%29 Divide both sides by -6 to isolate y.


y=-9 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 -9x-6y=54.


Graph of -9x-6y=54