SOLUTION: Find the X and Y intercept of 3x + 4y = 9. I would really appreciate the help on this one. Could you break it down so I could possible understand it?

Algebra ->  Linear-equations -> SOLUTION: Find the X and Y intercept of 3x + 4y = 9. I would really appreciate the help on this one. Could you break it down so I could possible understand it?      Log On


   

Question 189813: Find the X and Y intercept of 3x + 4y = 9. I would really appreciate the help on this one. Could you break it down so I could possible understand it?
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+%2B+4y+=+9 Start with the given equation.


3x+%2B+4%280%29+=+9 Plug in y=0.


3x+%2B+0+=+9 Multiply 4 and 0 to get 0.


3x+=+9 Simplify.


x=%289%29%2F%283%29 Divide both sides by 3 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


3x+%2B+4y+=+9 Start with the given equation.


3%280%29+%2B+4y+=+9 Plug in x=0.


0+%2B+4y+=+9 Multiply 3 and 0 to get 0.


+4y+=+9 Simplify.


y=%289%29%2F%284%29 Divide both sides by 4 to isolate y.


So the y-intercept is or in decimal form (0, 2.25).


Notice that if we graph the equation 3x+%2B+4y+=+9, we can see that the graph has the x-intercept and the y-intercept , or (0, 2.25)


Graph of 3x+%2B+4y+=+9