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Solve 2 variable linear equations & inequalities by Judah L Schwartz

Solve 2 variable linear equations & inequalities by Judah L Schwartz
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2016-05-06 22:01
FunctionCoordinate GeometryInequalityGeometric ConstructionSlider Animation
This example demonstrates how to use GeoGebra to graphically represent and solve 2-variable linear equations and inequalities in coordinate geometry. Key math concepts include linear equations, inequalities, coordinate geometry, and geometric interpretation. Construction highlights involve GeoGebra commands/objects like a, b, c, C, f, d, g, i, h, j, k, e, FP, CP, ap, bP, CL, aL, text3, text4, l, m, text1, text2, text5, text6, n. Suitable for high school mathematics education to understand the geometric meaning and methods of solving linear equations and inequalities.

GeoGebra Commands & Parameters

  1. Numeric a(1.6)
  2. Numeric b(1.0)
  3. Numeric c(-0.5)
  4. Numeric C(4.5)
  5. f(x, y) = (C - (a * x) - (b * y)) / c
  6. d(x, y) = If[f(x, y) > 0, 0]
  7. g(x) = (C - (a * x)) / b
  8. Boolean i(false)
  9. h(x, y) = y > (C - (a * x)) / b
  10. Boolean j(true)
  11. k(x, y) = y < (C - (a * x)) / b
  12. e(x, y) = If[f(x, y) < 0, 0]
  13. FP(x, y) = C / c - (a / c * x) - (b / c * y)
  14. C / c
  15. a / c
  16. b / c
  17. C / b
  18. a / b
  19. l(x, y) = y > (C - (a * x)) / b
  20. m(x, y) = y < (C - (a * x)) / b
  21. Boolean n(false)