What linear relationship defines the movement of a reflection?

The movement of a reflection is defined by the linear relationship between the original point and its image across a line of reflection. If the line of reflection is represented by the equation (y = mx + b), the coordinates of the reflected point can be calculated using the perpendicular bisector method, ensuring that the original point and its image are equidistant from the line. This relationship maintains equal angles of incidence and reflection, creating symmetry across the line.