Distance Formula

Distance between two points in the plane.

d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

Variables

This is the Pythagorean theorem applied to the right triangle formed by the horizontal and vertical differences.

From $(1, 2)$ to $(4, 6)$ : $d = 9 + 16 = 5$ .

Find the slope, equation of the line, distance and midpoint between two points.

Pythagorean Theorem

Relates the sides of a right triangle.

Midpoint Formula

The point halfway between two points.