 Top

Midpoint Calculator
Top

The midpoint is the middle point of a line segment which is equidistant from both endpoints.

Midpoint Calculator (or Mid Point Calculator) is an online tool to calculate the midpoint of a line segment when two end points are given. It takes the end points of a line-segment as x1, y1 and x2, y2 and gives the co-ordinates of the midpoint of the line-segment and displays them as xm, ym.

Midpoint Formula -
Midpoint co-ordinates, $(x_{m}, y_{m}) = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$
I.e. $x_{m} = (\frac{x_{1} + x_{2}}{2})$ & $y_{m} = \frac{y_{1} + y_{2}}{2}$

## Midpoint Calculation Steps

Step 1 :

Observe the value of x1, x2, y1 and y2 from the given points

Step 2 :

Apply the formula for finding mid-point as: ( $\frac{(x_{1} + x_{2})}{2}$, $\frac{(y_{1} + y_{2})}{2}$)

## Midpoint Calculation Examples

1. ### Find the mid point of the line segment having end points as (2,3) and (4,5)?

Step 1 :

Given that: x1 = 2, x2 = 4, y1 = 3 and y2 = 5

Step 2 :

Mid-point = ( $\frac{(x_{1} + x_{2})}{2}$, $\frac{(y_{1} + y_{2})}{2}$)

Mid-point = ( $\frac{(2 + 4)}{2}$, $\frac{(3 + 5)}{2}$)

Mid-point = ( $\frac{(6)}{2}$, $\frac{(8)}{2}$)

Mid-point = (3,4)

Mid-point = (3,4)

2. ### Find the mid point of line segment having end points (-2, -3) and (-6, -9)?

Step 1 :

Given that: x1 = -2, x2 = -6, y1 = -3 and y2 = -9

Step 2 :

Mid-point = ( $\frac{(x_{1} + x_{2})}{2}$, $\frac{(y_{1} + y_{2})}{2}$)

Mid-point = ( $\frac{(-2 + (-6))}{2}$, $\frac{(-3 + (-9))}{2}$)

Mid-point = ( $\frac{(-8)}{2}$, $\frac{(-12)}{2}$)

Mid-point = (-4,-6)