20 lines
788 B
Markdown
20 lines
788 B
Markdown
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---
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title: Equation of a Line
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---
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## Equation of a Line
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### For a Given Slope and y-intercept (Standard Form):
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Let `m` be the slope of the line and `b` be the y-intercept. (Note that the y-intercept is the point at which the given line crosses the y-axis). Then the equation of a line is:
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`y = mx+b`
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### For a Given Slope and One Point through which the Line Passes (Point-Slope Form):
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Let `m` be the slope of the line and `(x1, y1)` be the co-ordinate of the point through which the given line passes. Then the equation of a line is:
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`(y - y1) = m(x - x1)`
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### For Two Points through which the Line Passes:
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Let `(x1, y1)` and `(x2, y2)` be the co-ordinates of two points through which the given line passes. Then the equation of a line is:
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`(y - y1)(x2 - x1) = (y2 - y1)(x - x1) `
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