Question: 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
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;equation.png 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 m*xmid ); 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.
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