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Linear Function via Two Points

Linear Function via Two Points
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2017-08-30 22:58
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to determine a linear function through two points. Core math concepts include the slope and intercept of a line, and the algebraic expression of linear functions. Construction highlights use of GeoGebra commands like Random for point generation, Textfield and Polygon for text and shape display, and LaTeX for formula rendering. Suitable for high school mathematics teaching to understand the geometric meaning and algebraic representation of linear functions.

GeoGebra Commands & Parameters

  1. Random(1, 5) → deltax
  2. Textfield(g) → InputBox3
  3. Polygon(B, C, D, E) → poly1, b_2, c_1, d_2, e_1
  4. LaTeX(a, true, true) → text10
  5. LaTeX(b, true, true) → text11
  6. LaTeX(a_1, true, true) → text2
  7. LaTeX(b_1, true, true) → text3
  8. Random(1, 15) → nRand

AI Drawing Prompt Reference

Draw a straight line passing through two points, A and B. First, randomly generate the coordinates of points A and B. Then, calculate the equation of the line and display the slope and intercept using LaTeX format. Finally, draw the line and add corresponding text descriptions to the graph.
The prompt above was compiled from the original drawing commands and is for reference only.