Interactive Graphing Quiz: Linear Inequalities in Two Variables

This example presents an interactive quiz that visualizes how a system of two-variable linear inequalities is represented on the coordinate plane. It demonstrates the role of boundary lines—whether they are included (solid) or excluded (dashed)—and how the corresponding solution set becomes a shaded region. The key math ideas include two-variable linear inequalities, the geometric meaning of slope and intercept, and the fact that adding inequalities corresponds to taking intersections of solution sets, producing characteristic region shapes. Construction in GeoGebra is driven by commands and objects such as Sequence (to generate repeated/parameterized elements), Union (to combine graphic objects), Random (to vary problem parameters), Line (to create boundary lines), Slope (to compute/display the slope), and FractionText (to present algebraic values). It also uses various text/symbol objects (e.g., FractionText and multiple text objects) and interactive buttons (button1/button2) to present the prompt and labels, while coordinating points/parameters (objects like A, B, a–f, m, e–f, etc.) to place and update the shaded region. Suitable for middle and early high school, as well as introductory college geometry/algebra courses focused on graphing and inequality reasoning.