Explicit Equation of a Straight Line and Parameter Interpretation

This example illustrates the explicit equation of a straight line y = mx + b and explains the geometric meaning of its parameters m (slope) and b (y‑intercept). The core mathematical concepts covered are explicit equations, linear functions, slope, intercept, and the intersection of a line with the coordinate axes. Using GeoGebra commands Intersect and Angle, the construction allows users to see how the line rotates or translates as the parameters change, with objects such as sliders m, b, T1, etc., providing dynamic interaction. The activity is intended for high‑school students studying algebra and analytic geometry, and can also serve as an enrichment tool for middle‑school learners to develop spatial intuition.