Coordinate Distance Calculator

Given two points on a coordinate plane, this calculator finds the straight-line distance between them using the Euclidean distance formula — the square root of the squared horizontal gap plus the squared vertical gap — which is really the Pythagorean theorem applied to a coordinate grid instead of a physical triangle. At the calculator's default points, (0, 0) and (3, 4), the horizontal and vertical gaps form a 3-4-5 right triangle, and Y₂ has noticeably more pull over the resulting distance than X₂ does — nudging Y₂ by ten percent moves the distance by roughly 1.8 times the proportional amount that nudging X₂ by the same ten percent does, because the vertical gap (4) makes up a larger share of the total distance (5) than the horizontal gap (3) does. X₁ and Y₁ start at exactly 0 by default, which means this calculator's own starting example cannot demonstrate how those two fields move the distance — a coordinate that is already zero has nothing to be nudged by a percentage of itself.

The midpoint's X coordinate depends only on X₁ and X₂, never on either Y value, and the midpoint's Y coordinate depends only on Y₁ and Y₂ in exactly the same mirrored way. Missing from this calculator: slope is reported as literal undefined text rather than a number whenever the two X coordinates are identical, since a vertical line segment has no finite rise-over-run ratio to display.