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Slope from Rise and Run

Slope from Rise and Run
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2020-01-30 02:43
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to calculate the slope of a line by using rise and run. It involves core math concepts like slope, linear equations, and coordinate geometry. The construction uses GeoGebra commands/objects such as Element, Length, Intersect, Segment, Sequence, and Line. Suitable for middle school students and above to learn about linear equations and slope calculation, or for teaching demonstrations.

GeoGebra Commands & Parameters

  1. Element(recordrise, 1) → u_1
  2. Element(recordrun, 1) → w_1
  3. Element(recordrise, 2) → u_2
  4. Element(recordrun, 2) → w_2
  5. Element(recordrise, 10) → u_{10}
  6. Element(recordrise, 8) → u_8
  7. Element(recordrise, 6) → u_6
  8. Element(recordrise, 5) → u_5
  9. Element(recordrise, 4) → u_4
  10. Element(recordrise, 3) → u_3
  11. Element(recordrise, 7) → u_7
  12. Element(recordrise, 9) → u_9
  13. Element(recordrun, 10) → w_{10}
  14. Element(recordrun, 8) → w_8
  15. Element(recordrun, 6) → w_6
  16. Element(recordrun, 5) → w_5
  17. Element(recordrun, 4) → w_4
  18. Element(recordrun, 3) → w_3
  19. Element(recordrun, 7) → w_7
  20. Element(recordrun, 9) → w_9
  21. Length(recordrise) → s
  22. Intersect(xAxis, yAxis) → C
  23. Segment(F, C) → f
  24. Segment(E, J) → j
  25. Segment(C, E) → k
  26. Segment(F, J) → l
  27. Sequence(Segment[C + (0, i), E + (0, i)], i, 0, 10) → list1
  28. Line(A, B) → m
  29. Sequence(Segment[C + ((2 * i), 0), F + ((2 * i), 0)], i, 0, 3) → l1

AI Drawing Prompt Reference

Draw a coordinate system with x and y axes intersecting at the origin. Create multiple horizontal and vertical line segments to represent different rise and run values, and connect these points with line segments to illustrate how to calculate the slope of a line using rise and run.
The prompt above was compiled from the original drawing commands and is for reference only.