The point exactly halfway
The midpoint is the point that sits dead center between two others — the average of their coordinates. It is what you reach for to find a center of a segment, bisect a line, or place something evenly between two marks. This calculator returns the midpoint and throws in the distance and slope of the segment as well.
The formula
For points (x₁, y₁) and (x₂, y₂), the midpoint is ((x₁ + x₂) / 2, (y₁ + y₂) / 2). You simply average the x values and average the y values — nothing more.
Why averaging works
Halfway along each axis is the mean of the two endpoints on that axis. Doing it independently for x and y lands you exactly in the middle of the straight segment joining the points.
Related algebra tools
For the full length of the segment, use the distance formula calculator; for its steepness and equation, the slope calculator.
Worked example
Between (1, 2) and (5, 8): the midpoint is ((1 + 5)/2, (2 + 8)/2) = (3, 5), sitting squarely between the two points.
FAQ
Does it work in 3D?
The same averaging applies to a z coordinate, but this tool covers the 2D case. For 3D distance and midpoint, use the distance formula calculator with the z fields.
Is the midpoint always between the points?
Yes — being the average, it always lies on the segment, exactly equidistant from both ends.