You are given the following points in the plane: (1, 3),(2, 5),(3, 7),(5, 11),(7, 14),(8, 15),(10, 19). You want to find a line y = ax + b that approximately passes through these points (no line is a perfect fit). Write a linear program (you do not need to solve it) to find the line (find a, b) that minimizes the maximum absolute error:
\max_{1
