SOLUTION: Graph using the intercept method: 2x – 5y = 10

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Question 113840: Graph using the intercept method: 2x – 5y = 10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2Ax-5%2Ay=10 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-5%2A%280%29=10 Plug in y=0

2%2Ax=10 Simplify

x=10%2F2 Divide both sides by 2


x=5 Reduce



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



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2%2Ax-5%2Ay=10 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%29-5%2Ay=10 Plug in x=0

5%2Ay=10 Simplify

x=10%2F-5 Divide both sides by -5



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 2%2Ax-5%2Ay=10
graph of 2%2Ax-5%2Ay=10 through the points and