Write a class for linear equations. A generic linear equation is of the form y = mx + b wh...

Write a class for linear equations. A generic linear equation is of the form y = mx + b where m and b are constants. Include the following methods:

(a) __init__ ,__ str__ , __repr__ .

(b) value(x), which returns the value of the equation given x.

(c) compose(LinearEquation) that composes two linear equations. That is, if y = x +1 and z = 2a +5, then y(z) = 2x + 6 and will be called as y.compose(z).

Note that the compose operation is not commutative.

(d) __add__ returns the sum of two linear equations. That is, if y = ax + b and z = cx + d, then y + z= (a + c)x + (b + d).

Include sample code that uses your class and demonstrates the use of all methods as well as error handling.