Find the exact midpoint M between two points (x₁, y₁) and (x₂, y₂). Also computes the distance between the points.
M = ((x₁+x₂)/2, (y₁+y₂)/2)
The midpoint is the average of the x-coordinates and the average of the y-coordinates. It lies exactly halfway along the segment.
Think of it as splitting each coordinate in half: halfway between x₁ and x₂, and halfway between y₁ and y₂.
d = √((x₂−x₁)² + (y₂−y₁)²)
This is the Pythagorean theorem applied to the coordinate plane. The horizontal and vertical separations form the legs of a right triangle, and the distance is the hypotenuse.
A tutor can walk you through the midpoint, distance, and slope formulas step by step.