Slope-Intercept Form Interactive Exploration

① This applet demonstrates how the slope-intercept form of a linear equation, y = mx + b, relates to its graph by allowing users to manipulate sliders and points to see real-time changes in the line's steepness and position. ② Core mathematical concepts include linear functions, slope, y-intercept, the correspondence between algebraic form and graphical representation, and the use of geometric elements like points, vectors, and midpoints in a coordinate system. ③ Construction highlights: using GeoGebra commands such as Intersect, Point, Vector, Midpoint, and Polygon, the applet builds objects like rise, run, yintercept, and a slope triangle, with sliders controlling parameters and text objects displaying numerical values dynamically. ④ Suitable for middle school to high school students learning about linear equations, and useful for teachers as an interactive demonstration tool to bridge algebraic formulas and geometric intuition.