SOLUTION: Graph using the intercept method: 2x+y=4

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Question 107911: Graph using the intercept method: 2x+y=4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2Ax%2B1%2Ay=4 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
2%2Ax%2B1%2A%280%29=4 Plug in y=0

2%2Ax=4 Simplify

x=4%2F2 Divide both sides by 2


x=2 Reduce



So the x-intercept is (2,0) (note: the x-intercept will always have a y-coordinate equal to zero)

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2%2Ax%2B1%2Ay=4 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
2%2A%280%29%2B1%2Ay=4 Plug in x=0

1%2Ay=4 Simplify

x=4%2F1 Divide both sides by 1



y=4 Reduce



So the y-intercept is (0,4) (note: the y-intercept will always have a x-coordinate equal to zero)

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So we have these intercepts:
x-intercept: (2,0)

y-intercept: (0,4)



Now plot the two points (2,0) and (0,4)




Now draw a line through the two points to graph 2%2Ax%2B1%2Ay=4
graph of 2%2Ax%2B1%2Ay=4 through the points (2,0) and (0,4)