Write a program that outputs the equation of the perpendicular bisector of the line segment between two points. Your program should - prompt for and input the coordinates of two points [for example (2.0, -4.0) and (7.0, -2.0)]; - compute the slope of the line between those two points; - compute the coordinates of the midpoint of the line segment between the two points by averaging the two x coordinates and the two y coordinates; - compute the slope of the perpendicular bisector by taking the negative reciprocal of the slope of the line segment; - compute the y intercept of the perpendicular bisector (you now have the slope m of the bisector and a point ( xmid, ymid ) on the bisector, so the y intercept is ymid mxmid); and - output the midpoint coordinates and the equation of the bisector as shown below. The figure above illustrates the sample line segment mentioned above and its perpendicular bisector. Note: You need to consider the special cases where the perpendicular bisector is vertical or horizontal as shown in the sample runs 2 and 3. Sample run 1 Enter x coordinate of point 1:2 Enter y coordinate of point1: 4 Enter x coordinate of point :7 Enter y coordinate of point 2:2 midpoint coordinates (4.50,3.00) Bisector equation: y=2.5x+8.25