SOLUTION: Please help me with this graph. Find the x- and y-intercepts and graph equation plotting intercepts for -5x+9y= -45

Algebra ->  Linear-equations -> SOLUTION: Please help me with this graph. Find the x- and y-intercepts and graph equation plotting intercepts for -5x+9y= -45      Log On


   

Question 536752: Please help me with this graph. Find the x- and y-intercepts and graph equation
plotting intercepts for -5x+9y= -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


-5x%2B9y=-45 Start with the given equation.


-5x%2B9%280%29=-45 Plug in y=0.


-5x%2B0=-45 Multiply 9 and 0 to get 0.


-5x=-45 Simplify.


x=%28-45%29%2F%28-5%29 Divide both sides by -5 to isolate x.


x=9 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


-5x%2B9y=-45 Start with the given equation.


-5%280%29%2B9y=-45 Plug in x=0.


-0%2B9y=-45 Multiply -5 and 0 to get 0.


9y=-45 Simplify.


y=%28-45%29%2F%289%29 Divide both sides by 9 to isolate y.


y=-5 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 -5x%2B9y=-45.


Graph of -5x%2B9y=-45


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Jim