$4.(4$ pts$)$ A line in two dimensional space may be defined using two points

$($x$1,$y$1)$ and $($x$2,$y$2)$ where x$1,$ y$1,$ x$2$ and y$2$ are real numbers. If y$1=$ y$2,$ then it

is a horizontal line, and if x$1=$ x$2,$ then it is a vertical line. If the line is not

vertical, then the slope of the line is $($y$2-$y$1)/($x$2-$x$1).$ The slope of a vertical line

is $\backslash$infty $($undefined$).$ Two lines are parallel if they have the same slope or if both

are vertical lines.

Design and implement the LineType class to represent a line as follows:

A$.$ Implement a class $($or struct$)$ called Point to represent a point $($x$,$y$).$ The x

and y members may be public. You may nest the declaration of Point

inside of LineType, but it is not required.

B$.$ Implement a class called LineType to represent a line. The only member

variables should be two variables of type Point. Include the following

functions in your LineType class:

$$ a $4-$argument constructor that takes four values to specify the $2$ points

$($you may assume the provided values will yield two different points$).$

$$ isHorizontal to return true if the line is horizontal, false otherwise.

$$ isVertical to return true if the line is vertical, false otherwise.

$$ slope to compute and return the slope $($for non$-$vertical lines$).$

$$ parallel to return true if the line is parallel to another line, false

otherwise.

It is ok for slope to cause a runtime error if the line is vertical.

It is NOT ok for parallel to cause a runtime error.