1- Write a Java code that asks the user to enter the integer (XA, YA) Ccoordinate of a point A and the slope (a) and the slope-intercept (b) of a straight line, reads these data, and calculate the distance from this point A to the given straight line: Line equation: y = ax + b After reading the coordinates of the point and the line equation, you need to get the equation of the line that passes through A and perpendicular to the original one as follows: The slope of the perpendicular line (ap) is the negative inverse of the slope of the original line: ap = -1/a The slope-intercept (br) of the perpendicular line calculated by replacing the coordinates of point A into the equation: bp = YA - APXA Once you get the equation of the perpendicular line, you need to calculate the coordinates (x, yı) of the intersection point between the original line and the perpendicular one as follows. bp – b X1 = а — ар У 3 ах, + b Lastly, get the distance as follows: distance = J(xXA – x1)² + (Ya – yı)² When printing the slope and the slope-intercept values, DON'T ENTER THEM MANUALLY (otherwise marks will be deducted).
1- Write a Java code that asks the user to enter the integer (XA, YA) Ccoordinate of a point A and the slope (a) and the slope-intercept (b) of a straight line, reads these data, and calculate the distance from this point A to the given straight line: Line equation: y = ax + b After reading the coordinates of the point and the line equation, you need to get the equation of the line that passes through A and perpendicular to the original one as follows: The slope of the perpendicular line (ap) is the negative inverse of the slope of the original line: ap = -1/a The slope-intercept (br) of the perpendicular line calculated by replacing the coordinates of point A into the equation: bp = YA - APXA Once you get the equation of the perpendicular line, you need to calculate the coordinates (x, yı) of the intersection point between the original line and the perpendicular one as follows. bp – b X1 = а — ар У 3 ах, + b Lastly, get the distance as follows: distance = J(xXA – x1)² + (Ya – yı)² When printing the slope and the slope-intercept values, DON'T ENTER THEM MANUALLY (otherwise marks will be deducted).
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
Section: Chapter Questions
Problem 27PE
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