Solving Linear Systems by Graphing

Solving Linear Systems by Graphing
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2020-04-16 22:22
This example demonstrates how to solve systems of linear equations by graphing two lines and observing their intersection point. Core math concepts include linear equations, linear functions, correlation, and coordinate geometry. It utilizes GeoGebra commands and objects such as Random, Line, Sequence, Union, RandomElement, Slope, FractionText, and Textfield. Suitable for middle school and above students learning to solve linear systems.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → a
  2. Random(-10, 10) → b
  3. Random(-10, 10) → c
  4. Line(A, B) → f
  5. Sequence(i, i, -10, y(B) - 1, 1) → dlower
  6. Sequence(i, i, y(B) + 1, 10, 1) → dupper
  7. Union(dlower, dupper) → dlist
  8. RandomElement(dlist) → d
  9. Line(A, C) → g
  10. Slope(f) → e
  11. Slope(g) → h
  12. FractionText(e) → text1
  13. FractionText(h) → text2
  14. Line(D, E) → i
  15. Line(G, F) → j
  16. Textfield(k) → InputBox1
  17. Textfield(l) → InputBox2