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Linear Function Graphing by Gerrit Stols

Linear Function Graphing by Gerrit Stols
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2015-11-12 08:06
FunctionCoordinate GeometryOptimizationSlider AnimationGraphing
In collections Linear functions
This example demonstrates how to graph the linear function y=mx+c using GeoGebra; core math concepts include linear functions, slope, y-intercept, and analytical geometry; construction highlights involve commands/objects like Textfield, Root, Intersect, and elements a, c, f, inputBox1, inputBox3, B, C, D, text4, text1, b, d, text2, text3; suitable for middle school students and above for learning function graphing and parameter influence analysis.

GeoGebra Commands & Parameters

  1. Textfield(a) → inputBox1
  2. Textfield(c) → inputBox3
  3. Root(f) → B, C
  4. Intersect(f, yAxis) → D

AI Drawing Prompt Reference

Create a graph of a linear function that demonstrates how changing the slope and y-intercept affects the line's position, including sliders for these parameters, the intersection point of the line with the y-axis, and text labels for the coordinates of key points.
The prompt above was compiled from the original drawing commands and is for reference only.