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Graphing Linear Equations in 2 Unknowns by Xavi

Graphing Linear Equations in 2 Unknowns by Xavi
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2014-04-22 22:56
FunctionCoordinate GeometryGraphing
This example demonstrates how to use GeoGebra to graph linear equations in two unknowns, forming a straight line. Key mathematical concepts include linear equations and coordinate geometry. Using commands like Sequence, Distance, and Intersect, you can construct the line and observe its properties. Suitable for students from middle school and above.

GeoGebra Commands & Parameters

  1. Sequence(Segment[(x(S) + int * i, y(S)), (x(T) + int * i, y(T))], i, 0, (x(U) - x(T)) / int) → list1
  2. Sequence(Segment[(x(T), y(T) + int * i), (x(U), y(U) + int * i)], i, 0, (y(S) - y(T)) / int) → list2
  3. Sequence(Segment[(x(S) + int * i / 5, y(S)), (x(T) + int * i / 5, y(T))], i, 0, 5 * (x(U) - x(T)) / int) → list3
  4. Sequence(Segment[(x(T), y(T) + int * i / 5), (x(U), y(U) + int * i / 5)], i, 0, 5 * (y(S) - y(T)) / int) → list4
  5. Distance(A, B1) → a
  6. Intersect(B1, c) → A'

AI Drawing Prompt Reference

Draw a Cartesian coordinate plane with a straight line defined by two points, and mark an intersection point on the line. Along the line, create two sets of parallel segments: one set horizontal and one vertical, with equal spacing, forming a grid. Additionally, add a finer grid with spacing one-fifth of the original, using smaller segments. Place a point off the line, then draw a perpendicular segment from that point to the line, marking the foot as the intersection. This illustrates a linear equation and coordinate geometry.
The prompt above was compiled from the original drawing commands and is for reference only.