Coordinating geometry proofs involves choosing a formula, drawing a graph, showing all work to demonstrate how the result was achieved, then concluding with a short statement of proof to explain what was proven and its validity. Coordinate geometry proofs can be solved using one of three formulas: the distance formula, slope formula or midpoint formula. The equation at hand determines the type of formula to be used, and the problem is then solved using a series of steps.
As with solving many other complex mathematical equations, coordinating geometry proofs begins with drawing a rough sketch of a graph, then adding labels for clarity. The proofing process may be carried out on a calculator or freehand, but should show the thought process used to achieve results. In addition to showing the results can be proven, laying out all work allows people to keep organized and see where errors occurred if answers are incorrect. Several formulas can be used to coordinate geometry proofs, including the slope formula. In math, slope refers to the steepness of a line or portion of a line. These lines are connected at two or more points, and show the relationship between x and y. Slopes vary in steepness, and while some are nearly horizontal, others are closer to vertical.