Gradient from Two Given Points - Geometric Demonstration

This GeoGebra example dynamically demonstrates how to compute the gradient (slope) of a line passing through two given points, visually linking the slope value to the coordinates of the points. The core mathematical concept is the slope formula in coordinate geometry: the ratio of the vertical difference to the horizontal difference between two points, along with perpendicular and parallel line relationships. Construction details: the commands OrthogonalLine, Line, Intersect, and Polygon are used; objects include points A and B, lines f, g, h, intersection point C, polygon poly1, and text objects text1 and text2 that display the calculation steps. Suitable for upper middle school or high school students learning slope concepts, and for teachers to illustrate the transition from geometric intuition to algebraic computation.