# Java Program to Check Whether a Given Points are Colinear or Not

This is a Java Program to check whether three points are collinear or not. We do this by taking two points make an equation of the line passing through those two points and check whether third points lies on it. In geometry, collinearity is a property of a set of points, specifically, the property of lying on a single line.

Here is the source code of the Java Program to Check if a Given Set of Three Points Lie on a Single Line or Not. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

1. `//This is a java program to check whether three points are collinear or not`
2. `import java.util.Scanner;`
3. ` `
4. `public class Collinear_Points`
5. `{`
6. `    public static void main(String args[])`
7. `    {`
8. `        System.out.println("Enter the points : <x>,<y>");`
9. `        Scanner scan = new Scanner(System.in);`
10. `        int x, y, x1, x2, y1, y2;`
11. `        x = scan.nextInt();`
12. `        y = scan.nextInt();`
13. `        x1 = scan.nextInt();`
14. `        x2 = scan.nextInt();`
15. `        y1 = scan.nextInt();`
16. `        y2 = scan.nextInt();`
17. ` `
18. `        /*`
19. `         * System.out.println("The Equation of the line is : (" + (y2 - y1) +`
20. `         * ")x+(" + (x1 - x2) + ")y+(" + (x2 * y1 - x1 * y2) + ") = 0");`
21. `         */`
22. ` `
23. `        int s = (y2 - y1) * x + (x1 - x2) * y + (x2 * y1 - x1 * y2);`
24. `        if (s < 0)`
25. `            System.out.println("The points are NOT collinear");`
26. `        else if (s > 0)`
27. `            System.out.println("The points are NOT collinear");`
28. `        else`
29. `            System.out.println("The points are collinear");`
30. `        scan.close();`
31. `    }`
32. `}`

Output:

```\$ javac Collinear_Points.java
\$ java Collinear_Points

Enter the points : <x>,<y>
3 2
1 3
1 5
The points are NOT collinear

Enter the points : <x>,<y>
1 1
1 5
1 9
The points are collinear```

Sanfoundry Global Education & Learning Series – 1000 Java Programs. 