Java Program to Find Points that Divides a Line in Given Ratio (Section Formula)

Java Program to Find Points that Divides a Line in Given Ratio (Section Formula)

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In the previous article, we have seen Java Program to Find Mid-Point of a Line

In this article we will discuss about how to find points that divides a line in given ratio using Java programming language.

Java Program to Find Points that Divides a Line in Given Ratio (Section Formula)

Before jumping into the program directly, let’s first know how can we find points that divides a line in given ratio

Explanation:

Formula to Find Points That Divide A Line By Given Ratio: [(mX2+nX1)/m+n , (mY2+nY1)/m+n]

Where,

  • (x1,y1) and (x2,y2) are the two points.
  • m:n is the ratio.

Example:

When coordinates of the points are ( -3,1) and (4,-5), 2:3 ratio

=> [(mX2+nX1)/m+n , (mY2+nY1)/m+n]

=>[{(2*4)+(3*-3)}/2+3, {(2*-5)+(3*1)}/2+3 ]

=> [(8-9)/5, (-10+3)/5]

=>[-0.2, -1.4]

Let’s see different ways to find points that divides a line in given ratio.

Method-1: Java Program to Find Points that Divides a Line in Given Ratio By Using Static Input Values

Approach:

  1. Declare the value for both point coordinates and the ratio ‘m‘ and ‘n‘.
  2. Then call the sectionPoint() method by passing the coordinates, m and n value as parameter.
  3. In this method the coordinates are calculated using the formula  (mX2+nX1)/m+n , (mY2+nY1)/m+n
  4. Then print the result.

Program:

// JAVA Code to Find Points that Divides a Line in Given Ratio

import java.util.Scanner;

public class Main
{
    public static void main(String[] args){
        // Coordinates
        double x1 = -3, y1 = 1, x2 = 4, y2 = -5;
        // Ratio
        int m =2,n=3;
        sectionPoint(x1,y1,x2,y2,m,n);
    }

    // Divides a line in a givcn ratio and prints its coordinates
    public static void sectionPoint(double x1,double y1,double x2,double y2,int m,int n)
    {
        double coordinate1 = (m*x2+n*x1)/(m+n), coordinate2 = (m*y2+n*y1)/(m+n);
        // Prints the section coordinate
        System.out.println("The coordinates of the line after dividing in "+m+":"+n+" ratio is ("+coordinate1+":"+coordinate2+")");
    }
}

Output:

The coordinates of the line after dividing in 2:3 ratio is (-0.2:-1.4)

Method-2: Java Program to Find Points that Divides a Line in Given Ratio By Using User Input Values

Approach:

  1. Take user input the value for both point coordinates and the ratio ‘m‘ and ‘n‘.
  2. Then call the sectionPoint() method by passing the coordinates, m and n value as parameter.
  3. In this method the coordinates are calculated using the formula  (mX2+nX1)/m+n , (mY2+nY1)/m+n
  4. Then print the result.

Program:

// JAVA Code to Find Points that Divides a Line in Given Ratio
import java.util.Scanner;

public class Main
{
    public static void main(String[] args)
    {
        // Taking user input
        Scanner scan = new Scanner(System.in);
        // Coordinates
        System.out.print("Enter first point coordinates : ");
        double x1 = scan.nextDouble() ,y1 = scan.nextDouble();
        System.out.print("Enter second point coordinates : ");
        double x2 =scan.nextDouble(), y2 = scan.nextDouble();
        // Ratio
        System.out.print("Enter the ratio to divide the line in : ");
        int m =scan.nextInt(),n=scan.nextInt();
        sectionPoint(x1,y1,x2,y2,m,n);
    }

    // Divides a line in a givcn ratio and prints its coordinates
    public static void sectionPoint(double x1,double y1,double x2,double y2,int m,int n)
    {
        double coordinate1 = (m*x2+n*x1)/(m+n), coordinate2 = (m*y2+n*y1)/(m+n);
        // Prints the section coordinate
        System.out.println("The coordinates of the line after dividing in "+m+":"+n+" ratio is ("+coordinate1+":"+coordinate2+")");
    }
}

Output:

Enter first point coordinates : 1.5 6
Enter second point coordinates : 0.5 3
Enter the ratio to divide the line in : 1 2
The coordinates of the line after dividing in 1:2 ratio is (1.1666666666666667:5.0)

Grab the opportunity to learn all effective java programming language concepts from basic to advance levels by practicing these Java Program Examples with Output

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