SOLUTION: find the x and y intercepts 3x+4y=12

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Question 332134: find the x and y intercepts
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=%2812%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=%2812%29%2F%284%29 Divide both sides by 4 to isolate y.


y=3 Reduce.


So the y-intercept is .