a$)$ Write a linear program to find an equation of the linear function $f(x)=$

$ax+b$ that best fits the following points in the $L_1$ sense:

$(1,1),(2,2),(3,1),(4,5)$

b$)$ Solve this linear problem using scipy $.$optimmize. linprog. Include a printout

or a screenshot showing your code and the results of computations.

c$)$ Write the equation of the function $f(x)$ computed in part b$)$ and plot this

function together with the points given in part a$)$