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Slope: Run and Rise

Slope: Run and Rise
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2020-06-22 04:46
FunctionCoordinate GeometryGeometric Construction
This example demonstrates calculating the slope of a line using 'run' (horizontal distance) and 'rise' (vertical distance). It involves core math concepts like coordinates, addition, means, percentages, and general quadrilaterals. Constructed using GeoGebra commands such as Line, Sequence, and If, it is suitable for middle school students and above learning coordinate geometry and function slopes, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Sequence(Vector[A + (sgn(x(B) - x(A)) * (i, 0)), A + (sgn(x(B) - x(A)) * (i + 1, 0))], i, 0, abs(x(B) - x(A)) - 1) → l1
  3. Sequence(Vector[(x(B), y(A)) + (sgn(y(B) - y(A)) * (0, i)), (x(B), y(A)) + (sgn(y(B) - y(A)) * (0, i + 1))], i, 0, abs(y(B) - y(A)) - 1) → l2
  4. If(step1 ∧ b ∧ (GCD[run, rise] ≠ 1 ∨ run < 0 ∨ rise < 0), true, false) → showstep2