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Gradient-Intercept Form Exploration

Gradient-Intercept Form Exploration
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2014-09-19 14:50
FunctionCoordinate GeometrySlider Animation
This example demonstrates the effect of changing m and c on the graph of a linear equation. It covers the core concept of the gradient-intercept form, including slope and y-intercept. Constructed using GeoGebra commands, including slider animation. Suitable for middle school and above students learning linear equations.

GeoGebra Commands & Parameters

  1. Numeric m(3)
  2. Numeric c(5)
  3. y = (m * x) + c
  4. Line c_1(-4, 1, 0)
  5. Line d(-0.25, 1, 0)
  6. Line e(1, 1, 0)

AI Drawing Prompt Reference

Draw a line with a slope of 3 and y-intercept of 5. Then, create two new lines with slopes of -0.25 and 1, respectively, both passing through the point (0,1). Observe how these lines affect the graph.
The prompt above was compiled from the original drawing commands and is for reference only.