Research Linear Equations: Sliders for Slope and Intercept

This interactive GeoGebra example demonstrates how the coefficient of x (slope m) and the constant term (y-intercept c) in a linear equation y = mx + c affect the straight-line graph on the coordinate axes. It covers core concepts of linear functions, slope, intercept, and their geometric interpretation. The construction uses sliders for m and c, a function f, and the Intersect command to mark intersection points with axes, enabling dynamic exploration. Suitable for middle and high school students learning algebra and graphing, as well as for classroom demonstrations to visualize parameter changes.