Calculate the distance between two points with the distance formula. Drag points on an interactive coordinate plane and see the step-by-step solution update live.
Loading calculator...
The Distance Formula Calculator finds the distance between two points in the coordinate plane using the distance formula, d = √((x₂ − x₁)² + (y₂ − y₁)²). Drag either point on the interactive coordinate plane or type coordinates directly, and the distance updates live.
Every calculation comes with a step-by-step breakdown: identify the points, state the distance formula derived from the Pythagorean theorem, then substitute and simplify. Results are rounded to four decimal places.
The distance formula finds the straight-line distance between two points in the coordinate plane: d = √((x₂ − x₁)² + (y₂ − y₁)²). Subtract the coordinates, square each difference, add them, and take the square root.
The distance formula is the Pythagorean theorem applied to coordinates. The horizontal and vertical changes between the points form the legs of a right triangle, and the distance is the hypotenuse.
Yes. Each difference is squared, so negative coordinates never produce a negative distance — the squares make the signs irrelevant and the result is always zero or positive.
If the two points are identical, both differences are zero, so d = √(0² + 0²) = 0. A distance of zero means the points coincide.
QuizWhiz is an AI quiz generator: upload a PDF, paste your notes, or link an article and get a graded practice quiz with explanations in seconds.