What Is the Distance Formula?
The distance formula computes the straight-line (Euclidean) distance between two points in a two-dimensional coordinate plane. Given point one at (x_1, y_1) and point two at (x_2, y_2), the distance d is the length of the segment connecting them. It is a direct application of the Pythagorean theorem to the horizontal and vertical differences between the points.
How to Use This Calculator
Enter the coordinates of your first point (x_1 and y_1) and your second point (x_2 and y_2). Click calculate and the tool returns the exact distance along with the horizontal change (Δ x) and vertical change (Δ y). Coordinates may be positive, negative, whole numbers, or decimals.
The Formula Explained
The formula is
Worked Example
Find the distance from (1, 2) to (4, 6). Here Δ x = 4 - 1 = 3 and Δ y = 6 - 2 = 4. So
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