SOLUTION: Find the x and y intercepts and graph the equation plotting the intercepts. -3x-5y=15

Algebra ->  Linear-equations -> SOLUTION: Find the x and y intercepts and graph the equation plotting the intercepts. -3x-5y=15      Log On


   

Question 551869: Find the x and y intercepts and graph the equation plotting the intercepts.
-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=%2815%29%2F%28-3%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=%2815%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