GEO.1.3

The instructor introduces the distance formula as the square root of the sum of squared differences of x and y coordinates. It is explained that the order of points does not matter because squaring the differences always results in a positive value.

A step-by-step demonstration on how to identify points on a graph and plug them into the distance formula. The process involves careful subtraction and dealing with double negatives, followed by simplifying the square root or finding a decimal approximation.

The concept of finding the middle between two values is explained as the average of the coordinates. The formula is defined as adding the x-values and dividing by two, then repeating the same process for y-values.

Practical application of the midpoint formula. The video shows how to compute the midpoint of two coordinates by averaging their individual components.

The instructor demonstrates how to find a missing endpoint when the midpoint and one endpoint are provided. This is achieved by setting up separate algebraic equations for x and y to solve for the missing coordinates.