Linear Equations: Slope

① This example provides an interactive visual representation of the slope of a line, demonstrating how slope is defined as the ratio of vertical change (Δy) to horizontal change (Δx) between two points on the line. ② Core mathematical concepts include linear equations, slope definition, the fact that two points determine a line, and the relationship between slope and the steepness/inclination of the line. ③ Construction details: Using GeoGebra commands such as Point, Line, Ray, Segment, and Intersect, the construction creates key points (A, B), a line, and auxiliary objects like deltay and deltax (vertical and horizontal differences) along with a text label (text1) to display the slope value. Users can drag points to dynamically observe how the slope changes. ④ Suitable for middle school to high school students learning coordinate geometry or function graphing, and for teachers to use in classroom demonstrations to bridge geometric intuition with algebraic slope formulas.