Given an integer m which is the slope of a line, the task is to find the slope of the line which is parallel to the given line.
Examples:
Input: m = 2
Output: 2Input: m = -3
Output: -3
Approach:
Let P and Q be two parallel lines with equations y = m1x + b1, and y = m2x + b2 respectively. Here m1 and m2 are the slopes of the lines respectively. Now as the lines are parallel, they don’t have any intersecting point, and hence there will be no system of solutions for the lines. So, let us try to solve the equations,
For y, m1x + b1 = m2x + b2
m1x – m2x = b2 – b1
x(m1 – m2) = b2 – b1
The only way there can be no solution for x is for m1 – m2 to be equal to zero.
m1 – m2 = 0
This gives us m1 = m2 and the slopes are equal.
Below is the implementation of the above approach:
C++
// C++ implementation of the approach#include <bits/stdc++.h>using namespace std;// Function to return the slope// of the line which is parallel to// the line with the given slopedouble getSlope(double m){ return m;}// Driver codeint main(){ double m = 2; cout << getSlope(m); return 0;} |
Java
// Java implementation of the approachimport java.io.*;public class GfG { // Function to return the slope // of the line which is parallel to // the line with the given slope static double getSlope(double m) { return m; } // Driver code public static void main(String[] args) { double m = 2; System.out.println(getSlope(m)); }}// This code is contributed by Code_Mech. |
Python3
# Python3 implementation of the approach# Function to return the slope# of the line which is parallel to# the line with the given slopedef getSlope(m): return m;# Driver codem = 2;print(getSlope(m));# This code is contributed# by Akanksha Rai |
C#
// C# implementation of the approachclass GFG{ // Function to return the slope// of the line which is parallel to// the line with the given slopestatic double getSlope(double m){ return m;}// Driver codestatic void Main(){ double m = 2; System.Console.Write(getSlope(m));}}// This code is contributed by mits |
PHP
<?php// PHP implementation of the approach// Function to return the slope// of the line which is parallel to// the line with the given slopefunction getSlope($m){ return $m;}// Driver code$m = 2;echo getSlope($m);// This code is contributed by Ryuga?> |
Javascript
<script>// javascript implementation of the approach // Function to return the slope// of the line which is parallel to// the line with the given slopefunction getSlope(m){ return m;}var m = 2;document.write(getSlope(m));// This code contributed by Princi Singh </script> |
2
Time Complexity: O(1)
Auxiliary Space: O(1)
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