How to Find the Midpoint
The midpoint is the middle point of a line segment. It is equidistant from both endpoints.
Midpoint Formula
The formula to find the midpoint $M$ between two points $A(x_1, y_1)$ and $B(x_2, y_2)$ is:
Detailed Explanation
Finding the midpoint is essential in geometry, engineering, and computer graphics. It represents the exact center of a line segment connecting two specific points. Whether you are finding the center of a bridge, bisecting a line in design, or solving a geometry problem, the midpoint formula is your go-to tool.
Example Problem
Question: Find the midpoint between points A(2, 4) and B(6, 10).
Step 1: Identify coordinates.
x₁ = 2, y₁ = 4
x₂ = 6, y₂ = 10
Step 2: Apply the Midpoint Formula.
x = (2 + 6) / 2 = 8 / 2 = 4
y = (4 + 10) / 2 = 14 / 2 = 7
Answer: The midpoint M is (4, 7).
Frequently Asked Questions
What is the midpoint formula?
The midpoint formula is M = ((x₁ + x₂)/2, (y₁ + y₂)/2). It calculates the average of the x-coordinates and the average of the y-coordinates.
How do I find the endpoint if I have the midpoint?
If you have the midpoint and one endpoint, use our Endpoint Calculator. The formula rearranges to: x₂ = 2xₘ - x₁.
Does this calculator work with negative numbers?
Yes! Our tool fully supports negative coordinates. Just enter the negative sign (e.g., -5) in the input fields.
Can I use decimals or fractions?
Absolutely. You can enter decimals (e.g., 3.5) directly. For fractions, convert them to decimals or use our specialized Midpoint Calculator for Fractions.