Linear Equations Self-Check: Draw Lines from Equations

This example demonstrates how to plot a straight line on the coordinate plane from a given linear equation and lets students verify their own graph. Core concepts include linear functions, standard form of a linear equation, geometric meaning of slope and intercept, and the correspondence between points, lines, and equations in analytic geometry. Construction highlights: the `Line` command creates lines from two points or an equation; `LaTeX` produces the formula text `text1`; points `A, B, C, D` serve as reference and intersection points; the `Equation` object stores the equation string; auxiliary lines `b` and `c` aid visualization; `pic1` and `pic2` are image objects for UI feedback. Suitable for middle‑school algebra, high‑school analytic geometry, classroom demos, self‑practice, or online self‑assessment, and as an introductory GeoGebra activity for graphing linear equations.