findDistanceBetweenTwoPoints2D()

Step 1: Understand the Problem

First, we need to understand what the problem is asking. We are given two points in 2-dimensional space, and our task is to find the distance between these two points. The formula to find the distance between two points (x1, y1) and (x2, y2) in 2-dimensional space is sqrt((x2 - x1)² + (y2 - y1)²), which is derived from the Pythagorean theorem.

Step 2: Define the Method Signature

Let's start by defining the method signature. In English, our function could be described as 'find distance between two points', which translates to the following code:

public static double findDistance(int x1, int y1, int x2, int y2) {
}

Step 3: Implement the Distance Formula

Inside the findDistance method, we will implement our distance formula. We'll use Math.pow for exponentiation and Math.sqrt for square root:

public static double findDistance(int x1, int y1, int x2, int y2) {
    double distance = Math.sqrt(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2));
    return distance;
}

Step 4: Test the Code

Now, let's test our method with a couple of test cases to make sure it's working as expected:

public static void main(String[] args) {
    System.out.println(findDistance(1, 1, 4, 5));  // Expected output: 5.0
    System.out.println(findDistance(-1, -1, 1, 1)); // Expected output: 2.83
}

Step 5: Conclusion

Great, our function seems to be working perfectly. By following the above steps, you can write a function to calculate the distance between two points in 2-dimensional space. Here is the final code for the function in Java:

class Main {
    public static void main(String[] args) {
        System.out.println(findDistance(1, 1, 4, 5));  // 5.0
        System.out.println(findDistance(-1, -1, 1, 1)); // 2.83
    }

    public static double findDistance(int x1, int y1, int x2, int y2) {
        double distance = Math.sqrt(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2));
        return distance;
    }
}