Lesson 8 · Circle

Equation of Lines Passing through Two Points Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10: Coordinate Geometry

Equation of Lines Passing through Two Points

Point-slope form · Two-point form · Collinear points

By the end of this lesson you can

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Derive and use \( y - y_1 = m(x - x_1) \)

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Derive and use the two-point form

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Find a line from a graph or an intersection

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Test whether three points are collinear

Coordinate geometry

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First developed by René Descartes

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Every point is an ordered pair \( (x, y) \)

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Lines and curves become equations

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Used in physics, computing, engineering, astronomy

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Presenter notes: Today we learn how to write the equation of a straight line when we know one point and its slope, or when we know two points on it.