The Distance Formula is a mathematical equation used to determine the distance between two points in a coordinate plane. It is derived from the Pythagorean theorem and is expressed as d = \sqrt(x_2 - x_1)^2 + (y_2 - y_1)^2 , where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points. This formula is essential in various fields, including geometry, physics, and computer graphics. By applying the Distance Formula, one can easily calculate how far apart two points are, which is useful for tasks such as navigation and mapping in systems like GPS.