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Writing Linear Equations (I)

Writing Linear Equations (I)
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2016-04-23 00:00
FunctionCoordinate GeometryGraphing
This example demonstrates how to write linear equations for given graphs. Core math concepts include standard form of linear equations and slope calculation. Interactive constructions using GeoGebra commands like Sequence, Union, RandomElement, Intersect, Line, Segment, Polygon, Textfield, FractionText, Slope are employed to show the relationship between equations and graphs. Suitable for middle school and above mathematics education, helping students understand the composition and application of linear equations.

GeoGebra Commands & Parameters

  1. Sequence(i, i, -10, -1, 1) → denomlista
  2. Sequence(i, i, 1, 10, 1) → denomlistb
  3. Union(denomlista, denomlistb) → denomlist
  4. Sequence(i, i, -8, 8, 1) → blist
  5. RandomElement(blist) → b
  6. Sequence(i, i, -8, 8, 1) → numlist
  7. RandomElement(numlist) → rise
  8. RandomElement(denomlist) → run
  9. Intersect(a, x = 0) → A
  10. Sequence(i, i, -8, y(A), 1) → y_a
  11. Sequence(i, i, y(A) + 1, 8, 1) → y_b
  12. Sequence(i, i, -10, x(A) - 1, 1) → x_a
  13. Sequence(i, i, x(A) + 1, 10, 1) → x_b
  14. Line(D, A) → c
  15. Segment(C, A) → d
  16. Segment(C, D) → e
  17. Polygon(D, C, A) → poly1, a_1, d_1, c_1
  18. Textfield(mguess) → InputBox1
  19. Textfield(bguess) → InputBox2
  20. FractionText(mguess) → text4
  21. Slope(c) → i
  22. Line(D, A) → l

AI Drawing Prompt Reference

Draw a linear equation graph demonstrating standard form and slope calculation. Start by plotting the coordinate axes and origin, then randomly generate a point and draw a line through it. Select two points on the line, connect them to form a triangle. Label the slope and y-intercept of the line and include input boxes for users to guess these values.
The prompt above was compiled from the original drawing commands and is for reference only.