Write a program that reads as its inputs four pairs of (x, y) coordinates of the endpoints of two line segments P1P2 and P3P4. Your program should decide whether the two line segments have a common point. For this problem you may use matlab in order to plot and visually see whether the two line segments intersect. (Hint: you may find helpful to represent a line segment as L=a*P1+(1-a)P2 where a is a constant between 0 and 1)