Linear Function Example
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Students' linear functions
This is a student-created GeoGebra example that demonstrates the graph of a linear function. The example involves the core concept of linear functions, adjusting parameters a and k with slider animation to observe changes in the function graph. The GeoGebra objects used in the construction include a, k, t, b, Z, I, P, text1, text2, text3. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Numeric a(0.3)Numeric k(-1.0)Numeric t(-2.7)y = a * x + k((-k) / a, 0)(0, a * 0 + k)(t, a * t + k)
AI Drawing Prompt Reference
Draw a graph of a linear function with sliders for parameters a and k to observe changes in the graph by adjusting the sliders. First, set a to 0.3 and k to -1.0, then draw the line y=ax+k, followed by the intersection point with the x-axis and the y-axis. Finally, plot the point corresponding to t=-2.7.
The prompt above was compiled from the original drawing commands and is for reference only.