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Equation of a Line from 2 Points

Equation of a Line from 2 Points
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2015-08-08 08:34
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to determine the equation of a line given two points A and B. Core math concepts include coordinate geometry, point-slope form of a line, and vectors. GeoGebra commands and objects used are Line, Intersect, Segment, Distance, FractionText, Vector, Angle, Polygon. Suitable for high school mathematics teaching and learning about line equation plotting and calculation.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Intersect(b, c) → C
  3. Segment(A, C) → d
  4. Segment(B, C) → e
  5. Distance(A, C) → distanceAC
  6. Distance(B, C) → distanceBC
  7. FractionText(Slope[a]) → text1
  8. FractionText(a(0)) → text2
  9. Vector(A, C) → u
  10. Vector(C, B) → v
  11. Angle(B, C, A) → α
  12. Polygon(A, C, B) → poly1, b_1, a_1, c_1