MathPlotAI Logo MathPlotAI

How to Draw y=ax+b Without a Table?

How to Draw y=ax+b Without a Table?
Loading the math board and drawing, please wait…
2020-06-13 02:42
FunctionGraphing
This example demonstrates how to draw the graph of a linear function y=ax+b without using a table. Key mathematical concepts include linear functions and function graphs. Using GeoGebra commands such as Textfield, Vector, Polygon, etc., you can dynamically adjust the values of a and b to observe changes in the function graph. Suitable for students at the junior high school level and above to learn about the graphs and properties of linear functions.

GeoGebra Commands & Parameters

  1. Textfield(a) → ChampTexte1
  2. Textfield(b) → ChampTexte2
  3. Vector(A, AA) → u
  4. Polygon(D, E, F) → t1, f_1, d, e
  5. Vector(D, AA) → v
  6. Translate(D, Vector[(If[o < 5, 0, If[5 < o < 15, (o - 5) / 10, 1]] * v)]) → D'
  7. Translate(E, Vector[(If[o < 5, 0, If[5 < o < 15, (o - 5) / 10, 1]] * v)]) → E'
  8. Translate(F, Vector[(If[o < 5, 0, If[5 < o < 15, (o - 5) / 10, 1]] * v)]) → F'
  9. Polygon(D', E', F') → t1', f', d', e'
  10. Translate(A, Vector[(If[o ≤ 10, o / 10, 1] * Vector[A, AA])]) → A'
  11. Translate(AA, Vector[(If[o < 15, 0, (3 * (o - 15) / 10)] * Vector[AA, C])]) → AA'
  12. Translate(AA, Vector[(-((If[o < 15, 0, (3 * (o - 15) / 10)] * Vector[AA, C])))]) → AA'_1
  13. Segment(AA', AA'_1) → g
  14. Midpoint(E, F) → G
  15. Midpoint(E', F') → H
  16. Vector(K, L) → c
  17. Vector(I, M) → w
  18. Midpoint(D, E) → N

AI Drawing Prompt Reference

Draw the graph of the linear function y=ax+b, where a and b can be adjusted through input fields. First, create input fields for a and b, then use vectors and polygons to draw the line. Finally, dynamically adjust the line's position to observe how changes in a and b affect the line.
The prompt above was compiled from the original drawing commands and is for reference only.