Linear Function 5 Points Introduction

① This example demonstrates the fundamental features of a linear function by placing five key points (A, B, C, D, E) on the coordinate plane, allowing learners to see how points relate to the straight line graph. ② Core mathematical concepts include linear functions (slope, intercept), coordinate geometry, and the property that any two points determine a unique line; the five points provide multiple checks for consistency. ③ Construction: In GeoGebra, five free point objects (A, B, C, D, E) are created; users can drag these points to dynamically change their positions and observe how the line equation adjusts, reinforcing the relationship between coordinates and the function rule. ④ Suitable for middle school or early high school students beginning to study linear functions, as well as for classroom demonstrations or self-paced exploration to build intuition from discrete points to the continuous graph.