Where does the distance formula come from

The video tutorial explains the origin and application of the distance formula. It begins with an introduction to the importance of understanding the formula, followed by examples using a number line and coordinate plane. The tutorial then covers basic distance calculation on a number line, introduces right triangles and the Pythagorean theorem, and finally derives the distance formula using coordinate points.

Explain the importance of understanding the distance formula in different situations.

What are the two types of points discussed in relation to the coordinate plane?

Describe how to find the distance between two points on a number line.

What is the Pythagorean theorem and how is it related to the distance formula?

How do you differentiate between two coordinate points when calculating distance?

What is the formula for calculating the distance between two points in a coordinate plane?

Why is the distance always considered positive in the distance formula?