gen-briefly-explain-the-distance-formula-and-one-common-misconce-3efb

Briefly explain the distance formula and one common misconception about it.

## The Distance Formula The distance formula calculates the straight-line distance between two points in coordinate space. In 2D, for points (x₁, y₁) and (x₂, y₂): **d = √[(x₂ - x₁)² + (y₂ - y₁)²]** It comes directly from the Pythagorean theorem, treating the horizontal and vertical separations as legs of a right triangle. ## Common Misconception **The order of subtraction matters for the final answer.** Many students worry about which point to subtract from which. In reality, it doesn't matter because squaring eliminates any negative signs: - (x₂ - x₁)² = (x₁ - x₂)² Whether you get -3 or 3, squaring gives you 9. Distance is always positive, so the formula is "order-proof."