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Graphing Linear Equations by SuperPisTeacher

Graphing Linear Equations by SuperPisTeacher
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2016-04-11 06:33
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the graphical representation of linear equations. Key mathematical concepts include equations, roots, and number properties. Using GeoGebra commands such as If, Polygon, and Ellipse, the graphical representation of the equation is constructed. Suitable for beginners to learn the geometric representation of equations.

GeoGebra Commands & Parameters

  1. If(u + L ≟ R, 0, If[u + L ≥ R, -1, 1]) → B
  2. Polygon((-6.5, B), (-5.5, B), 4) → poly1
  3. Ellipse((-3, B), (-7, B), 2.25) → c
  4. Ellipse((3, (-B)), (7, (-B)), 2.25) → d
  5. Segment((-5, B), (-5, -3)) → a
  6. Intersect(c, a) → A,
  7. Segment((5, (-B)), (5, -3)) → b
  8. Intersect(d, b) → C,
  9. Segment(A, A') → e
  10. Segment(C, C') → f
  11. Segment(A', C') → g
  12. Intersect(yAxis, g) → D
  13. Point(yAxis) → E
  14. Segment(D, E) → h
  15. Polygon(F, G, H, I) → poly3, f_1, g_1, h_1, i_1
  16. Midpoint(J, M) → O
  17. Polygon((-5.5, -4), (-4.5, -4), (-4.5, -3.5), (-5.5, -3.5)) → poly2, i, j, k, m
  18. Sequence(Polygon[(4.5, (-B) - 0.5 + t / 2), (5.5, (-B) - 0.5 + t / 2), (5.5, (-B) + t / 2), (4.5, (-B) + t / 2)], t, 1, R, 1) → list2
  19. Sequence(Polygon[(-4.5, B - 0.5 + t / 2), (-3.5, B - 0.5 + t / 2), (-3.5, B + t / 2), (-4.5, B + t / 2)], t, 1, L, 1) → list1
  20. Polygon((-5.5, -4), (-4.5, -4), (-4.5, -3.5), (-5.5, -3.5)) → poly2_1, i_2, j_1, k_1, m_1
  21. Polygon((5, -4), (6, -4), (6, -3.5), (5, -3.5)) → poly4, n, p, q, s