Merits of using Homogeneous Coordinate System

Question

What is the fundamental merits of using Homogeneous Coordinate System?

Answer 1

Matrix representations are standard technique of implementing transformations in the computer graphics. But unluckily, we are not capable to symbolize all the transformations in a (2 x 2) matrix form; such as translation. By employing Homogeneous Coordinates System (HCS), we can symbolize all the transformations in the matrix form.