Parallele und orthogonale Geraden berechnen, lineare Funktionen | Verständlich erklärt

This section clearly explains how to calculate parallel and orthogonal lines (linear functions) to a given line (linear function), i.e., how to find the corresponding function equations. The general form of the function equation of a linear function is f(x) = mx + b. Here, m is the slope and b is the y-intercept of the line. To find the function equation of a parallel line, only the slope m needs to be the same. The y-intercept is irrelevant for parallelism. For two orthogonal lines, the product of their slopes is -1, i.e., m1 * m2 = -1. The given slope can be substituted into this equation, and the equation can then be rearranged to solve for the (desired) slope of the orthogonal line. The y-intercept of the line is irrelevant for orthogonality. I will explain this topic clearly using several examples.