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Solve f(x)=g(x) for Linear Functions

Solve f(x)=g(x) for Linear Functions
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2018-08-13 02:18
VectorFunctionCoordinate Geometry
This example demonstrates how to solve the intersection of two linear functions f(x) and g(x) using coordinate geometry. Key mathematical concepts include linear functions, function graphs, and coordinate geometry. Using GeoGebra commands such as Intersect, Line, and Vector, the example provides a visual understanding of linear function properties and solutions. Suitable for middle school and above students to learn linear equations and function graphs.

GeoGebra Commands & Parameters

  1. Intersect(f_1, g) → I
  2. Line(x_1, y_2) → h_1
  3. Line(x_0, g_0) → i_1
  4. Intersect(i_1, h_1) → K
  5. Line(A, B) → k
  6. Line(x_1, y_1) → i
  7. Intersect(i, k) → Focus
  8. Line(Focus, K) → g_1
  9. Vector(A, B) → f
  10. Vector(x_1, y_1) → v
  11. Segment(f_x, F) → c_1
  12. Segment(E, F) → d
  13. Segment(A, x_1) → e
  14. Segment(B, y_1) → h
  15. Intersect(g_1, a) → C
  16. Line(Focus, C) → n
  17. Intersect(n, e) → D
  18. Intersect(n, yAxis) → G
  19. Segment(G, C) → p
  20. Vector(G, C) → u
  21. OrthogonalLine(I, q) → r
  22. Intersect(r, xAxis) → J
  23. Vector(H, I) → w
  24. Vector(I, J) → z
  25. Vector(C, G) → s
  26. Vector(I, H) → t
  27. Vector(J, I) → u_1
  28. Textfield(f_1) → InputBox1
  29. Textfield(g) → InputBox2
  30. Vector(A, g_0) → v_1