Write a MATLAB code that performs the following tasks:

$$ Generates random points b$1,$ b$2,$ and random directions A$1$ and A$2$ in the plane.

$$ If it exists, finds the intersection between the defined by b$1$ and A$1,$ and the line defined

by b$2$ and A$2$

$$ Plots the lines and the intersection points as in the example below