SOLUTION: Use the intercepts to graph the equation. -x+4y=8

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Question 134284: 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!

-1%2Ax%2B4%2Ay=8 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
-1%2Ax%2B4%2A%280%29=8 Plug in y=0

-1%2Ax=8 Simplify

x=8%2F-1 Divide both sides by -1


x=-8 Reduce



So the x-intercept is (note: the x-intercept will always have a y-coordinate equal to zero)



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-1%2Ax%2B4%2Ay=8 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
-1%2A%280%29%2B4%2Ay=8 Plug in x=0

-4%2Ay=8 Simplify

x=8%2F4 Divide both sides by 4



y=2 Reduce



So the y-intercept is (note: the y-intercept will always have a x-coordinate equal to zero)

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So we have these intercepts:
x-intercept:

y-intercept:



Now plot the two points and




Now draw a line through the two points to graph -1%2Ax%2B4%2Ay=8
graph of -1%2Ax%2B4%2Ay=8 through the points and