SOLUTION: Find the x and y intercepts 1.3x+4y=12, 2.y=2x+10, 3.3x+4y=0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the x and y intercepts 1.3x+4y=12, 2.y=2x+10, 3.3x+4y=0       Log On


   

Question 303804: Find the x and y intercepts 1.3x+4y=12, 2.y=2x+10, 3.3x+4y=0

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Only post one problem at a time please.

# 1



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 .


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