Midpoint Calculator

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**Step 1 :**

**Step 2 :**

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 x_{1}, y_{1}_{} and x_{2}, y_{2}_{} and gives the co-ordinates of the midpoint of the line-segment and displays them as x_{m}, y_{m}_{}.

**Midpoint Formula -**

Midpoint co-ordinates,
$(x_{m}, y_{m}) = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

I.e. $x_{m} = (\frac{x_{1} + x_{2}}{2})$ & $y_{m} = \frac{y_{1} + y_{2}}{2}$

Observe the value of x_{1}, x_{2}, y_{1} and y_{2} from the given points

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

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

**Step 1 :**Given that: x

_{1}= 2, x_{2}= 4, y_{1}= 3 and y_{2}= 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)

**Answer :**Mid-point = (3,4)

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

**Step 1 :**Given that: x

_{1}= -2, x_{2}= -6, y_{1}= -3 and y_{2}= -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)

**Answer :**Mid-point = (-4,-6)