SOLUTION: use the intercepts to graph the equation 9x-5y=45

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Question 299189: use the intercepts to graph the equation 9x-5y=45
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-5y=45 Start with the given equation.


9x-5%280%29=45 Plug in y=0.


9x-0=45 Multiply -5 and 0 to get 0.


9x=45 Simplify.


x=%2845%29%2F%289%29 Divide both sides by 9 to isolate x.


x=5 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-5y=45 Start with the given equation.


9%280%29-5y=45 Plug in x=0.


0-5y=45 Multiply 9 and 0 to get 0.


-5y=45 Simplify.


y=%2845%29%2F%28-5%29 Divide both sides by -5 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-5y=45.


Graph of 9x-5y=45