Java Lab 2 Classes and Methods Solutions

Writing an Algebra Class in IntelliJ
AP CSA Lab #2
Write your own “Algebra” class.
This class should have the following five static methods:

given two integers x and y, returns their average.
public static double average(int x, int y)

given two points (x1, y1) and (x2,y2), returns the slope of the line through them. You may assume x1 is not equal to x2.
public static double slope(int x1,int y1,int x2,int y2)

given two integers x and y, returns their difference x - y
public static int difference(int x,int y)

given an integer x returns its square x*x
public static int square (int x)

given two points (x1, y1) and (x2,y2), returns the planar distance between them. You must call the difference and square methods in this method. You may not use subtraction or multiplication.
public static double distance(int x1,int y1,int x2,int y2)

Main method in the driver class:
Ask the user to enter two different points in the coordinate plane ... corresponding to (x1,y1) and (x2,y2)
Calculate and print the slope of the line passing through the points.
Calculate and print the distance between the two points.
Calculate and print the midpoint of the line segment with those endpoints. (the x coordinate of the midpoint is the average of the x coordinates of the endpoints. Likewise with y)

Sample output: Note the format of the user input prompts and the points formatted in the outputEnter two points in the plane.x1:2y1:5x2:9y2:7

Given the points A(2, 5) and B(9, 7)
Slope of the line through A and B: 0.2857142857142857
Distance between A and B: 7.280109889280518
Midpoint of the segment with endpoints A and B: (5.5, 6.0)