Interactive Demo of Linear Functions and Derivatives

This example demonstrates the geometric relationship between linear functions and their derivatives through interactive graphics. ① It shows how sliding a point allows observation of changes in the linear function's graph and its corresponding derivative; ② Core mathematical concepts include linear functions, derivatives, scatter plots, and rational numbers; ③ Construction highlights the use of sliders, function graphing, and scatter plot features in GeoGebra; ④ Suitable for high school mathematics education to help students understand the connection between functions and derivatives.