SOLUTION: Find the y-intercept and the x-intercept for the equation. 4x+3y=12 y-intercept is? x-intercept is?

Algebra ->  Graphs -> SOLUTION: Find the y-intercept and the x-intercept for the equation. 4x+3y=12 y-intercept is? x-intercept is?      Log On


   

Question 157860: Find the y-intercept and the x-intercept for the equation.
4x+3y=12
y-intercept is?
x-intercept is?
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


4x%2B3y=12 Start with the given equation.


4x%2B3%280%29=12 Plug in y=0.


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


4x=12 Simplify.


x=%2812%29%2F%284%29 Divide both sides by 4 to isolate x.


x=3 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


4x%2B3y=12 Start with the given equation.


4%280%29%2B3y=12 Plug in x=0.


0%2B3y=12 Multiply 4 and 0 to get 0.


3y=12 Simplify.


y=%2812%29%2F%283%29 Divide both sides by 3 to isolate y.


y=4 Reduce.


So the y-intercept is .


Notice that if we graph the equation 4x%2B3y=12, we can see that the graph has the x-intercept and the y-intercept . So this verifies our answer.


Graph of 4x%2B3y=12