Tired of manually calculating the midpoint of a line segment using formulas? Well, now you don’t have to! We’ve built a free-to-use, simple midpoint calculator that allows you to find the midpoint between two points effortlessly. Whether you need the results in fractions or decimals, this tool has you covered, providing precise outputs for all your geometry needs.
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What is a Midpoint?
A midpoint is the exact middle point of a line segment that divides it into two equal parts. It is calculated by averaging the ‘x-coordinates‘ and ‘y-coordinates‘ of the segment’s endpoints. This concept is widely used in geometry, design, and navigation to locate balance or symmetry.
For a line segment with endpoints (x1, y1) (x2, y2), the midpoint formula is:
Our midpoint calculator simplifies this process for you, offering results in both fractional and decimal formats.
How to Use
- The use of this midpoint calculator is very simple.
- To find the midpoint of a line segment, you need to input the x-coordinate and y-coordinate of its two endpoints in the respective fields.
- Once you provide these coordinates, the tool will display the midpoint’s ‘x‘ and ‘y’ coordinates in both fractional and decimal formats.
How to Find Midpoint Using Endpoints
We have solved two examples of finding the midpoint of a line segment using its endpoints. These examples will help you understand how to apply the midpoint formula.
Example :
Find the midpoint of the line segment with endpoints (−3, 4) and (5,−2).
Solution :
To find the midpoint of the line segment with endpoints (−3, 4) and (5,−2), we use the midpoint formula.
Substitute the coordinates:
x1= −3
y1 = 4
x2 = 5
y2 = −2
Calculate the x and y-coordinate of the midpoint:
Midpoint = -3 + 5 / 2 , 4 + (-2)/ 2
Midpoint = 2/2 , 2/2
Midpoint = 1 , 1
Result:
The midpoint is (1, 1)
Example :
Find the midpoint of the line segment with endpoints (-1, 3) and (4,−5).
Solution :
To find the midpoint of the line segment with endpoints (−1, 3) and (4,−5), we use the midpoint formula.
Substitute the coordinates:
x1= −1
y1 = 3
x2 = 4
y2 = −5
Calculate the x and y-coordinate of the midpoint:
Midpoint = -1 + 4 / 2 , 3 + (-5)/ 2
Midpoint = 3/2 , -2/2
Midpoint = 3/2 , -1
Result:
The midpoint is (3/2 , -1) or it can be converted from fraction to decimal as (1.5, -1)