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Graphing Linear Functions (1)

Graphing Linear Functions (1)
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2021-04-30 00:49
FunctionCoordinate GeometryGraphing
This example demonstrates how to plot linear functions, showing the relationship between lines and coordinate axes. Key mathematical concepts include linear equations, slope, and intercepts. Construction involves GeoGebra commands like Union, Sequence, Slope, and Intersect. Suitable for middle or high school math teaching to understand basic function graph characteristics.

GeoGebra Commands & Parameters

  1. Union(Sequence[-20, -1], Sequence[1, 20]) → numlist
  2. Sequence(1, 10) → denomlist
  3. Sequence(-20, 20) → blist
  4. Sequence(11, 50) → n
  5. RandomElement(blist) → b
  6. FractionText(s) → text1
  7. Denominator(s) → a
  8. Sequence(i, i, 1, 20, 1) → kseq
  9. RandomElement(kseq) → k
  10. Sequence((a * i), i, 5, 75, 1) → deonm2list
  11. RandomElement(deonm2list) → chosenans
  12. PointIn(x ≥ 0) → A
  13. PointIn(x ≥ 0) → B
  14. Slope(eq1) → c
  15. Intersect(eq1, x = 0) → C
  16. Line(A, B) → f_1

AI Drawing Prompt Reference

Draw a line with a random integer slope between -20 and 20 and a random integer y-intercept between 1 and 20. First, select two non-negative integer points A and B on the x-axis and draw a line f_1 through these points. Then, generate a random linear equation y = kx + b where k and b are random integers, ensuring k is between 1 and 20 and b is between 1 and 20. Finally, calculate the slope c of the line and its intersection point C with the y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.