Distance Formula Calculator

The distance between two points is the square root of the change in x squared plus the change in y squared. It is the Pythagorean theorem applied to the right triangle whose legs are the horizontal and vertical gaps between the points.

The midpoint is the average of the two x coordinates paired with the average of the two y coordinates. For (1, 2) and (4, 6) that is ((1+4)/2, (2+6)/2), which is (2.5, 4), the exact center of the segment.

Slope is the change in y divided by the change in x. When both points share the same x coordinate the change in x is zero, the line is vertical, and division by zero has no value, so the tool shows the slope as undefined rather than a number.

Delta x is the second x minus the first x, and delta y is the second y minus the first y. They are the horizontal and vertical legs of the triangle the distance is built from, shown so you can retrace the calculation.

The distance and midpoint are identical whichever point you enter first, because squaring and averaging erase the sign of the difference. The slope is also the same, though delta x and delta y will flip sign if you swap the points.

Distances and slopes are often irrational, so every output is rounded to four decimal places to tame floating-point noise and keep the display readable. A distance shown as 4.2426 is the square root of 18 to that precision.

Yes. Every field accepts any finite number, positive, negative or decimal, across a wide range. Only infinite or non-numeric values are rejected, in which case the tool shows a short error instead of a result.

No. This is straight-line distance on a flat plane using Cartesian x and y coordinates. Distances between latitude and longitude points on the curved surface of the Earth need a great-circle formula instead.

Yes. The whole calculation happens in your browser as you type. No coordinates are sent to a server or stored anywhere.