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Graphing Linear Equations by tmoorehead

Graphing Linear Equations by tmoorehead
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2016-02-22 08:53
FunctionCoordinate GeometryGraphing
This example demonstrates how to graph linear equations using GeoGebra. Key mathematical concepts include linear equations and their intersections. Commands such as Intersect, Line, OrthogonalLine, Vector, and Midpoint are used to construct the graph. Suitable for students in middle school and above to learn graphing linear equations.

GeoGebra Commands & Parameters

  1. Intersect(a, yAxis) → D
  2. Intersect(a, xAxis) → E
  3. Line(D, E) → b_1
  4. Intersect(c, yAxis) → F
  5. OrthogonalLine(G, xAxis) → e
  6. OrthogonalLine(F, yAxis) → f
  7. Intersect(e, f) → H
  8. Vector(F, H) → u
  9. Vector(H, G) → v
  10. Midpoint(H, G) → I
  11. Midpoint(H, F) → J
  12. OrthogonalLine(P, xAxis) → g
  13. OrthogonalLine(K, g) → h
  14. Intersect(g, h) → L
  15. Vector(P, L) → w
  16. Vector(L, K) → i
  17. Midpoint(L, K) → M
  18. Midpoint(L, P) → N

AI Drawing Prompt Reference

Draw the intersection of two lines, one passing through the intersection of the y-axis and x-axis, and the other perpendicular to the x-axis through a point on the y-axis. Construct the intersection of these two lines, then draw vectors from this intersection to another point. Next, construct a line perpendicular to the x-axis and find its intersection with another perpendicular line, then draw vectors from this intersection to another point. Finally, find the midpoints of the two intersections.
The prompt above was compiled from the original drawing commands and is for reference only.