SOLUTION: Find the x- intercept and y -intercept of the line given by the equation. 8x-3y=-6

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Question 531546: Find the x- intercept and y -intercept of the line given by the equation.
8x-3y=-6

Answer by jim_thompson5910(28595) 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


8x-3y=-6 Start with the given equation.


8x-3%280%29=-6 Plug in y=0.


8x-0=-6 Multiply -3 and 0 to get 0.


8x=-6 Simplify.


x=%28-6%29%2F%288%29 Divide both sides by 8 to isolate x.


x=-3%2F4 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


8x-3y=-6 Start with the given equation.


8%280%29-3y=-6 Plug in x=0.


0-3y=-6 Multiply 8 and 0 to get 0.


-3y=-6 Simplify.


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


y=2 Reduce.


So the y-intercept is .


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