Question: solve it using if-statement and loops only Write a program that outputs the equation of the perpendicular bisector of the line segment between two points.
solve it using if-statement and loops only
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 point1: 2 Enter y coordinate of point1: 4 Enter x coordinate of point2: 7 Enter y coordinate of point2: 2 midpoint coordinates (4.50,3.00) Bisector equation: y=2.5x+8.25
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