SOLUTION: Graph using the intercept method: 2x - 5y = 10. Thanks in advance

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Question 91077: Graph using the intercept method: 2x - 5y = 10. Thanks in advance
Answer by jim_thompson5910(21667) 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 (5,0) (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 x-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 (0,-2) (note: the y-intercept will always have a x-coordinate equal to zero)

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So we have these intercepts:
x-intercept: (5,0)

y-intercept: (0,-2)



Now plot the two points (5,0) and (0,-2)

drawing%28500%2C+500%2C+-7%2C+7%2C+-4%2C+4%2C%0D%0Agraph%28500%2C+500%2C+-7%2C+7%2C+-4%2C+4%2C0%29%2C%0D%0Acircle%285%2C0%2C0.0777777777777778%29%2C%0D%0Acircle%285%2C0%2C0.107777777777778%29%2C%0D%0A%0D%0Acircle%280%2C-2%2C0.0777777777777778%29%2C%0D%0Acircle%280%2C-2%2C0.107777777777778%29%0D%0A%0D%0A%0D%0A%29


Now draw a line through them
drawing%28500%2C+500%2C+-7%2C+7%2C+-4%2C+4%2C%0D%0Agraph%28500%2C+500%2C+-7%2C+7%2C+-4%2C+4%2C%2810-2%2Ax%29%2F-5%29%2C%0D%0Acircle%285%2C0%2C0.0777777777777778%29%2C%0D%0Acircle%285%2C0%2C0.107777777777778%29%2C%0D%0A%0D%0Acircle%280%2C-2%2C0.0777777777777778%29%2C%0D%0Acircle%280%2C-2%2C0.107777777777778%29%0D%0A%0D%0A%0D%0A%29 graph of 2%2Ax-5%2Ay=10 through the points (5,0) and (0,-2)