Solving Two Simultaneous Linear Equations with Sliders

Students manipulate the slopes and y‑intercepts of two linear functions using sliders, watching the intersection point move in real time. This illustrates how a system of two linear equations can be solved geometrically, linking algebraic forms (y = mx + b) with coordinate geometry. The construction uses GeoGebra’s Intersect command on objects m1, b1, f, m2, b2, g, A, A1, B1, C1, D1, E1, F1, allowing interactive exploration. Ideal for high‑school algebra and analytic geometry classes.