SOLUTION: Hello on my math homework I need to write an equation for a line in 3 forms and show the mathematics used to equate all 3. If you can please help me it is greatly appreciated.

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Question 508211: Hello on my math homework I need to write an equation for a line in 3 forms and show the mathematics used to equate all 3. If you can please help me it is greatly appreciated.
Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website!
It would be helpful for you to state what the three forms of a linear equation are.
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You could be talking about any of the following four likely candidates:
1) general form: Ax + By = C
2) standard form: Ax + By - C = 0
3) slope-intercept: y = mx + b
4) point-slope: y-y₁ = m(x-x₁)
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We can pick any linear equation and then reformat it as needed.
Let's say:
y = 2x + 3
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1) General Form
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y = 2x + 3
subtract 2x from both sides
-2x + y = 3
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2) Standard Form
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subtract 3 from both sides of the general form
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-2x + y - 3 = 0
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3) Slope-Intercept Form
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y = 2x + 3
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(Yes, that was the original equation I started with.)
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4) Point-Slope Form
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We know the slope =2 from above.
You need to define 2 points
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x = 1 results in y= 5: (1,5)
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x₁ = 3 results in y₁ = 9: (3,9)
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(1-3) = 2(5-9)
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