Identify both points
Write the coordinates as A = (x₁, y₁) and B = (x₂, y₂).
FREE COORDINATE CALCULATOR
Find the midpoint
between two points
Enter two coordinates to calculate the exact halfway point. See your answer, explore the graph and understand every step.
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MIDPOINT TOOL
Calculate the midpoint
Enter the coordinates of both endpoints.
Decimals and negative values supported
YOUR MIDPOINT
Exactly halfway between A and B
Distance between points11.6619037897 units
VISUAL SOLUTION
Midpoint on the coordinate plane
A (-4, 2)B (6, 8)M (1, 5)
STEP-BY-STEP SOLUTION
How to find the midpoint
The midpoint is the average of the x-coordinates and the average of the y-coordinates.
Step 1 · Write the formulaM = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Step 2 · Substitute the coordinatesM = ((-4 + 6) / 2, (2 + 8) / 2)
Step 3 · Calculate each coordinateM = (1, 5)
THE MATH, MADE SIMPLE
The midpoint formula
The midpoint is the point exactly halfway between two points on a coordinate plane. Average the x-coordinates to find the midpoint's x-value, then average the y-coordinates to find its y-value.
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Average the x-values and y-values separately.
THREE SIMPLE STEPS
How to find the midpoint
Calculate the averages
Add the x-values and divide by two. Repeat with the y-values.
Write your answer
Combine the two averages into the midpoint coordinate (x, y).
WORKED EXAMPLE
Midpoint example
Suppose A = (2, 4) and B = (8, 10). The x-coordinate is (2 + 8) / 2 = 5, and the y-coordinate is (4 + 10) / 2 = 7.
Midpoint (5, 7)
COMMON QUESTIONS
Midpoint calculator FAQs
What is a midpoint?
The midpoint is the point halfway between two endpoints of a line segment. It divides the segment into two equal lengths.
Can I calculate the midpoint with negative coordinates?
Yes. Enter negative, positive, zero or decimal coordinates in the calculator. The same midpoint formula applies.
Is the midpoint the same as the distance?
No. The midpoint is a coordinate halfway between the endpoints. Distance is the length of the segment between those endpoints.
What is the midpoint formula used for?
It is used in coordinate geometry to find the centre point of a line segment when the coordinates of both endpoints are known.
PRACTICE WITH EXAMPLES
See the formula in action
Explore worked examples with positive, negative and decimal coordinates.