a. Define the class pointType to implement the properties of a point in a two-dimensional plane. Your class must contain functions to individually set and retrieve the x and y coordinates, find the distance between this point and another point, and constructors to initialize pointType objects. If p1 and p2 are pointType objects, then p1.distance(p2) returns the distance between p1 and p2.
b. Write the definitions of the member functions of the class
pointType defined in part a.
c. If we know two points on a line, we can describe various properties of a line, such as whether the line is vertical, horizontal, or slanted, and if the line is nonvertical, then find its slope. Define the class lineType with two private data members of type pointType to store the coordinates of two points on a line in the two- dimensional plane. Among others, your class must contain functions to determine if the line is vertical, horizontal, or slanted, find the slope of the line, and output the equation of the line in slope intercept form. If the line is vertical, then output its equation in the form xa 5 , where a is a real number.
d. Write the definition of the member function of the class lineType defined in part c.