Midpoint calculator
Find the midpoint between two coordinates.
What this calculator covers
Use this midpoint calculator to find the coordinate halfway between two points on a 2D plane.
Because it shows the coordinate averages directly, it is also a quick check for line-segment and geometry homework.
Frequently asked questions
- What does the midpoint formula actually calculate?
- The midpoint formula averages the x-coordinates of the two points and separately averages the y-coordinates. The result is the point that lies exactly halfway along the straight line connecting the two inputs.
- Can I find the midpoint of a vertical or horizontal line segment?
- Yes. For a horizontal segment the y-coordinates are the same, so the midpoint simply falls at the average x-value with that same y. For a vertical segment the logic is reversed. The formula handles both cases without any special treatment.
- What if one or both coordinates are negative?
- Negative coordinates work the same way — average them as normal. For example, the midpoint between (−4, 2) and (2, −6) is (−1, −2) because (−4 + 2) / 2 = −1 and (2 + (−6)) / 2 = −2.
- How is the midpoint related to the distance between two points?
- The midpoint sits at exactly half the total distance between the two points. If you also need the full distance, use the distance formula, which squares the coordinate differences and takes the square root of their sum.
Tool
Run the calculation
Result
RESULT · MIDPOINT
â„–216
Primary result
(5, 7)
The midpoint between (2, 3) and (8, 11) is (5, 7).
- Midpoint
- (5, 7)
- Midpoint x
- 5
- Midpoint y
- 7
Step-by-step solution
- 1.Average the x-coordinates: (2 + 8) / 2 = 5.
- 2.Average the y-coordinates: (3 + 11) / 2 = 7.
- 3.Combine those coordinate averages to get the midpoint (5, 7).
Walkthrough
Visual walkthrough
A midpoint is found by averaging each coordinate separately.
01
Average the x-values
(2 + 8) / 2 = 5
The horizontal midpoint sits halfway between the two x-coordinates.
02
Average the y-values
(3 + 11) / 2 = 7
The vertical midpoint sits halfway between the two y-coordinates.
03
Pair the averaged coordinates
Putting the averaged x and y together gives the point exactly halfway between the originals.
(5, 7)