Exploring Parameters of a Linear Equation with GeoGebra

① This example demonstrates how to explore the parameters of a linear equation using GeoGebra, showing how changes in slope and intercept affect the position of a line and its intersection with axes or another line. ② The core mathematical concepts include slope, intercept, intersection of two lines, and segment length and position, integrating algebraic and geometric reasoning. ③ The construction uses the Slope command to compute the slope, the Intersect command to find the intersection point, and the Segment command to draw a segment, with objects a, b, m, m_1, line, A, B serving as parameters. ④ It is suitable for high‑school algebra and geometry classes, as well as introductory college mathematics courses, and can be used for classroom demonstrations, problem solving, and student inquiry activities.