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Linear Equation Picture Drawing

Linear Equation Picture Drawing
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2016-04-12 02:31
FunctionCoordinate GeometryGeometric ConstructionGraphing
This example demonstrates how to draw the graph of a linear equation using GeoGebra and illustrates its geometric meaning. Core math concepts include linear equations, coordinate geometry, and geometric construction. Key construction points involve using GeoGebra commands/objects like Segment (line segment) and Point (point) as derived from the 'Construction Summary'. Suitable for high school mathematics teaching or student self-exploration of linear equation graph properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, C) → b
  3. Segment(C, F) → c
  4. Segment(F, E) → d
  5. Segment(E, G) → e
  6. Segment(G, D) → f
  7. Segment(D, H) → g
  8. Segment(H, I) → h
  9. Segment(I, J) → i
  10. Segment(J, K) → j
  11. Segment(L, K) → k
  12. Segment(M, L) → p
  13. Segment(B, Q) → q
  14. Segment(Q, O) → r
  15. Segment(O, R) → l
  16. Segment(N, R) → m
  17. Segment(N, M) → n
  18. Segment(S, P) → s
  19. Segment(P, U) → t
  20. Segment(U, T) → a_1
  21. Segment(T, S) → b_1
  22. Segment(C_1, B_1) → c_1
  23. Segment(B_1, E_1) → d_1
  24. Segment(D_1, E_1) → e_1
  25. Segment(C_1, D_1) → f_1
  26. Segment(V, W) → g_1
  27. Segment(W, Z) → h_1
  28. Segment(Z, A_1) → i_1
  29. Segment(A_1, V) → j_1
  30. Segment(V, I_1) → k_1
  31. Point(g_1) → L_1
  32. Segment(L_1, J_1) → l_1
  33. Segment(W, K_1) → m_1
  34. Segment(P, H_1) → n_1
  35. Segment(M_1, G_1) → p_1
  36. Segment(S, F_1) → q_1
  37. Segment(N_1, O_1) → r_1
  38. Segment(O_1, P_1) → s_1
  39. Segment(Q_1, P_1) → t_1
  40. Segment(P_1, R_1) → a_2
  41. Segment(O_1, S_1) → b_2
  42. Point(yAxis) → U_1
  43. Segment(T_1, U_1) → c_2
  44. Segment(U_1, V_1) → d_2
  45. Point(h) → W_1
  46. Point(p) → Z_1
  47. Segment(W_1, Z_1) → e_2
  48. Segment(F, A) → f_2
  49. Segment(A, Q) → g_2
  50. Point(f_2) → A_2
  51. Segment(A_2, B_2) → h_2
  52. Segment(B_2, A) → i_2
  53. Point(g_2) → C_2
  54. Segment(C_2, D_2) → j_2
  55. Segment(D_2, A) → k_2
  56. Segment(E_2, F_2) → l_2
  57. Segment(F_2, L) → m_2
  58. Segment(G_2, H_2) → n_2
  59. Segment(H_2, I) → p_2