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Writing Linear Equations Given 2 Points (y-int = integer) V2

Writing Linear Equations Given 2 Points (y-int = integer) V2
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2022-12-15 22:48
FunctionCoordinate GeometryGraphing
This example demonstrates how to write the equation of a line given two points, specifically when the y-intercept is an integer. It involves core math concepts like linear equations, point-slope form, slope, y-intercept, and coordinate geometry. Constructed using GeoGebra commands and objects such as Sequence, Union, RandomElement, FractionText, Random, Line, and Textfield to generate practice problems with feedback. Suitable for middle school students and above for learning and practicing coordinate geometry, or for classroom demonstrations.

GeoGebra Commands & Parameters

  1. Sequence(i, i, -10, 10, 1) → ylist
  2. Sequence(i, i, -4, -1, 1) → Xleftfinal
  3. Sequence(i, i, 1, 4, 1) → Xrightfinal
  4. Union(Xleftfinal, Xrightfinal) → Xlistfinal
  5. Sequence(i, i, -10, 10, 1) → xlist
  6. RandomElement(Xlistfinal) → a
  7. Sequence(i, i, a + 1, 10, 1) → xlist2
  8. Sequence(i, i, -10, a - 1, 1) → xlist1
  9. Union(xlist1, xlist2) → list1
  10. RandomElement(list1) → c
  11. RandomElement(ylist) → b
  12. RandomElement(ylist) → d
  13. FractionText(e) → text1
  14. FractionText(g(0)) → text8
  15. Random(-20, 20) → h
  16. RandomElement(scalarlist1) → j
  17. Line(A, B) → m
  18. RandomElement(list2) → sc
  19. FractionText(Slope[m]) → text10
  20. Union(xlist1, xlist2) → list3
  21. Textfield(f) → InputBox1

AI Drawing Prompt Reference

Draw a line given two points A and B, where the y-coordinate of A is an integer. First, generate a series of integer points on the x-axis. Then, randomly select an x-value as the x-intercept of the line. Based on the selected x-intercept and a randomly generated y-value, determine the slope and equation of the line. Finally, draw the line through points A and B and display the slope and equation of the line.
The prompt above was compiled from the original drawing commands and is for reference only.