SOLUTION: use the intercepts to graph the equation 4x-8y=32

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Question 701599: use the intercepts to graph the equation
4x-8y=32
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


4x-8y=32 Start with the given equation.


4x-8%280%29=32 Plug in y=0.


4x-0=32 Multiply -8 and 0 to get 0.


4x=32 Simplify.


x=%2832%29%2F%284%29 Divide both sides by 4 to isolate x.


x=8 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


4x-8y=32 Start with the given equation.


4%280%29-8y=32 Plug in x=0.


0-8y=32 Multiply 4 and 0 to get 0.


-8y=32 Simplify.


y=%2832%29%2F%28-8%29 Divide both sides by -8 to isolate y.


y=-4 Reduce.


So the y-intercept is .


Now let's plot the points and which are the x and y intercepts respectively.





Now draw a straight line through the plotted points to graph 4x-8y=32.


Graph of 4x-8y=32