What is the midpoint formula?

The midpoint formula calculates the exact point that lies halfway between two points in a Cartesian coordinate system. The formula is represented as { (x1 + x2)/2, (y1 + y2)/2 }, which calculates the average of the x-coordinates and the average of the y-coordinates of the two points. This approach ensures that the calculated midpoint is equidistant from both points, which is crucial in various geometric applications, such as finding the center of a line segment.

By averaging the coordinates, the midpoint effectively captures the central location between the two specified points, making it a fundamental tool in coordinate geometry.