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# Program to find the mid-point of a line in C++

In this problem, we are given two points A and B, starting and ending point of a line. Our task is to create a program to find the mid-point of a line in C++.

**Problem Description** − Here, we have a line with starting and ending points A(x1, y1) and B(x2, y2). And we need to find the mid-point of the line.

**Let’s take an example to understand the problem,**

## Input

a(x1, y1) = (4, -5) b(x2, y2) = (-2, 6)

## Output

(1, 0.5)

## Explanation

(x1 + x2)/2 = 4 - 2 / 2 = 1 (y1 + y2)/2 = -5 + 6 / 2 = 0.5

## Solution Approach

To solve the problem, a simple method is using the geometrical formula for the mid of a line. The formula is given by,

Mid = ( ((x1 + x2)/2), ((y1 + y2)/2) )

**Program to illustrate the working of our solution,**

## Example

#include<iostream> using namespace std; int main() { float point[2][2] = {{-4, 5}, {-2, 6}}; float midX = (float)(( point[0][0] + point[1][0])/2); float midY = (float)(( point[0][1] + point[1][1])/2); cout<<"The mid-points are ("<<midX<<" , "<<midY<<")"; return 0; }

## Output

The mid-points are (-3 , 5.5)

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