Point-Slope Form Interactive Example (LF.Form.2)

This GeoGebra example demonstrates the point-slope form of a linear equation, y - y₀ = m(x - x₀), through an interactive construction. The core mathematical concept is the point-slope representation of a line, emphasizing the roles of the slope m and the fixed point (x₀, y₀). The construction uses sliders or input boxes (inputBox1) to control m and the point coordinates, vectors (Vector) and segments (Segment) to build the direction vector and the line, sequences (Sequence) and zip (Zip) to generate dynamic point sets, and text (text4) to display the equation in real time. Suitable for high school coordinate geometry lessons, this example helps students visualize how changing the slope or the fixed point shifts the line, and how the point-slope form relates to other linear equation forms.