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Slopes of Inverse Linear Functions

Slopes of Inverse Linear Functions
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2015-06-19 19:19
FunctionCoordinate GeometryCalculus
This example demonstrates that the slopes of inverse linear functions are reciprocals. Key mathematical concepts include linear functions and inverse functions. Using GeoGebra commands such as Line, Point, Slope, and Mirror, the example constructs the graphs of linear functions and their inverses. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line((0, 0), (1, 1)) → a
  2. Point(f) → A
  3. Point(f) → B
  4. Line(A, B) → b
  5. Slope(b) → m_1
  6. Mirror(f, a) → f_1
  7. Point(f_1) → D
  8. Point(f_1) → E
  9. Line(D, E) → c
  10. Slope(c) → m