HOW TO USE THE MIDPOINT FORMULA!

A midpoint is the exact middle point of a line segment, dividing it into two congruent halves. On a coordinate plane, a midpoint is represented by an (x, y) coordinate. The video uses the analogy of cutting an 8-inch sub in half to illustrate this concept.

To find the midpoint on a coordinate plane, the midpoint formula is used. The formula is ( (x1 + x2) / 2 , (y1 + y2) / 2 ), where (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment.

The video demonstrates how to find the midpoint of line segment AB with coordinates A (7, 3) and B (-5, 5). By substituting these values into the midpoint formula, the midpoint is calculated to be (1, 4).

This example shows how to find the coordinates of an unknown endpoint (N) when the midpoint M (-3, -4) and one endpoint T (-6, -9) are given. By setting up equations based on the midpoint formula, the coordinates of N are found to be (0, 1).

A visual method for finding the missing endpoint is also presented. By observing the slope from the known endpoint to the midpoint (e.g., up 5, over 3), repeating this slope from the midpoint will lead to the other endpoint.