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.

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.
.
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)
.
We can pick any linear equation and then reformat it as needed.
Let's say:
y = 2x + 3
.
1) General Form
.
y = 2x + 3
subtract 2x from both sides
-2x + y = 3
.
2) Standard Form
.
subtract 3 from both sides of the general form
.
-2x + y - 3 = 0
.
3) Slope-Intercept Form
.
y = 2x + 3
.
(Yes, that was the original equation I started with.)
.
4) Point-Slope Form
.
We know the slope =2 from above.
You need to define 2 points
.
x = 1 results in y= 5: (1,5)
.
x₁ = 3 results in y₁ = 9: (3,9)
.
(1-3) = 2(5-9)
.

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