SOLUTION: Use the intercepts to graph the equation x+2y=4.

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Question 146776: Use the intercepts to graph the equation x+2y=4.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
Plug in

Simplify

Divide both sides by 1


Reduce



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



------------------

Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
Plug in

Simplify

Divide both sides by 2



Reduce



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

------------------------------------------

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
graph of through the points and

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