SOLUTION: find both intercepts of the line 3x+4y=-12

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Question 198841: find both intercepts of the line 3x+4y=-12
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%2B4y=-12 Start with the given equation.


3x%2B4%280%29=-12 Plug in y=0.


3x%2B0=-12 Multiply 4 and 0 to get 0.


3x=-12 Simplify.


x=%28-12%29%2F%283%29 Divide both sides by 3 to isolate x.


x=-4 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%2B4y=-12 Start with the given equation.


3%280%29%2B4y=-12 Plug in x=0.


0%2B4y=-12 Multiply 3 and 0 to get 0.


4y=-12 Simplify.


y=%28-12%29%2F%284%29 Divide both sides by 4 to isolate y.


y=-3 Reduce.


So the y-intercept is .


Notice that if we graph the equation 3x%2B4y=-12, we can see that the graph has the x-intercept and the y-intercept


Graph of 3x%2B4y=-12