Write a java program for the following.

The equation of a line in standard form is ax + by = c, where a and b both cannot be zero, and a, b, and c are real number. If b 0, then a/b is the slope of the line. If a = 0, then it is a horizontal line, and if b = 0, then it is a vertical line. The slope of a vertical line is undefined. Two lines are parallel if they have the same slope or both are vertical lines. Two line are perpendicular if one of the lines is horizontal and another is vertical, or if the product of their slopes is -1. Design the class Line to store a line. To store line, you need to store the values of a (coefficient of x), b (coefficient of y), and c. Your class must contain the following operations:

a. If a line is nonvertical, then determine its slope.

b. Determine if two lines are equal. (Two lines a₁x +b₁x =c₁ and a₂x + b₂y = c₂ are equal if either

a₁ = a₂ , b₁ = b₂ , and c₁ = c₂ or a₁ = ka₂ , b₁ = kb₂ , and c₁ = kc₂ for some real number k.)

c. Determine if two lines are parallel.

d. Determine if two lines are perpendicular.

e. If two lines are not parallel, then find the point of intersection.

Add appropriate constructors to initialize variables of Line. Also write a program to test your class.