SOLUTION: graph x and y intercept 3x-5y=-15

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Question 514729: graph x and y intercept
3x-5y=-15
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


3x-5y=-15 Start with the given equation.


3x-5%280%29=-15 Plug in y=0.


3x-0=-15 Multiply -5 and 0 to get 0.


3x=-15 Simplify.


x=%28-15%29%2F%283%29 Divide both sides by 3 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


3x-5y=-15 Start with the given equation.


3%280%29-5y=-15 Plug in x=0.


0-5y=-15 Multiply 3 and 0 to get 0.


-5y=-15 Simplify.


y=%28-15%29%2F%28-5%29 Divide both sides by -5 to isolate y.


y=3 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-5y=-15.


Graph of 3x-5y=-15