Reflection of a Point Over a Line

Consider a triangle ABC with vertices A(2, 3), B(8, 7), and C(6, 1). This triangle is reflected over the line defined by the equation $y = mx + b$. If the line is specified by the equation $y = 3x - 5$, find the coordinates of the reflection of point A. Then, calculate the distance between the reflected point A' and the original point A.

Express your final answer as a decimal rounded to the nearest hundredth.