SOLUTION: Find the x and y intercept for the equation 9y-3x=-6

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Question 407445: Find the x and y intercept for the equation 9y-3x=-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
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9y-3x=-6 Start with the given equation.


-3x%2B9y=-6 Rearrange the terms.


x-intercept


To find the x-intercept, plug in y=0 and solve for x


-3x%2B9y=-6 Start with the given equation.


-3x%2B9%280%29=-6 Plug in y=0.


-3x%2B0=-6 Multiply 9 and 0 to get 0.


-3x=-6 Simplify.


x=%28-6%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=2 Reduce.


So the x-intercept is .


------------------------------------------


y-intercept


To find the y-intercept, plug in x=0 and solve for y


-3x%2B9y=-6 Start with the given equation.


-3%280%29%2B9y=-6 Plug in x=0.


-0%2B9y=-6 Multiply -3 and 0 to get 0.


9y=-6 Simplify.


y=%28-6%29%2F%289%29 Divide both sides by 9 to isolate y.


y=-2%2F3 Reduce.


So the y-intercept is .


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