General Form of Equation of a Line
The "General Form" of the equation of a straight line is:
A or B can be zero, but not both at the same time.
The General Form is not always the most useful form, and you may prefer to use:
Example: Convert 4x - 2y - 5 = 0 to Slope-Intercept Form
We are heading for
y = mx + b
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4x - 2y - 5 = 0 |
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| Move all except y to the left: |
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-2y = -4x - 5 |
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| Divide all by (-2): |
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y = 2x + 5/2 |
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And we are done! (Note: m=2 and b=5/2)
Why Use It?
It has the advantage of working well with vertical lines, which the Slope-Intercept Form and Point-Slope Form do not.
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