SOLUTION: Find the y- and x-intercepts for the equation. 4y = -28 + 7x Any assistance is greatly appreciated.

Algebra ->  Graphs -> SOLUTION: Find the y- and x-intercepts for the equation. 4y = -28 + 7x Any assistance is greatly appreciated.      Log On


   

Question 226244: Find the y- and x-intercepts for the equation.
4y = -28 + 7x
Any assistance is greatly appreciated.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
X-Intercept:


4y+=+-28+%2B+7x Start with the given equation.


4%280%29+=+-28+%2B+7x Plug in y=0


0+=+-28+%2B+7x Multiply


28=+7x Add 28 to both sides.


28%2F7=x Divide both sides by 7.


4=x Reduce.


So the x value that makes y equal to zero is x=4 which means that the x-intercept is (4,0)

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Y-Intercept:


4y+=+-28+%2B+7x Start with the given equation.


4y+=+-28+%2B+7%280%29 Plug in x=0


4y+=+-28+%2B+0 Multiply


4y=+-28 Combine like terms.


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


y=-7 Reduce.


So the y value that makes x equal to zero is y=-7 which means that the y-intercept is (0,-7)