SOLUTION: Find the x and y intercepts of the graph with the equation 2x -4y = 8

Algebra ->  Linear-equations -> SOLUTION: Find the x and y intercepts of the graph with the equation 2x -4y = 8      Log On


   

Question 528848: Find the x and y intercepts of the graph with the equation 2x -4y = 8
Answer by jim_thompson5910(35256) About Me  (Show Source):
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x-intercept


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


2x+-4y+=+8 Start with the given equation.


2x+-4%280%29+=+8 Plug in y=0.


2x+-0+=+8 Multiply -4 and 0 to get 0.


2x++=+8 Simplify.


x=%288%29%2F%282%29 Divide both sides by 2 to isolate x.


x=4 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


2x+-4y+=+8 Start with the given equation.


2%280%29+-4y+=+8 Plug in x=0.


0+-4y+=+8 Multiply 2 and 0 to get 0.


+-4y+=+8 Simplify.


y=%288%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=-2 Reduce.


So the y-intercept is .


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