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

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Question 243595: use the intercepts to graph the equation
x + 4y = 8
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


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


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


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


x+%2B+0+=+8 Simplify.


x=8 Multiply.


So the x-intercept is .


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y-intercept


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


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


0+%2B+4y+=+8 Plug in x=0.


+%2B+4y+=+8 Simplify.


y=%288%29%2F%284%29 Divide both sides by 4 to isolate y.


y=2 Reduce.


So the y-intercept is .


Now plot the points (8,0) and (0,2)






Now draw a straight line through the points to graph x+%2B+4y+=+8





Graph of x+%2B+4y+=+8 through the points (8,0) and (0,2)