What is the distance formula and how do you derive it

The video tutorial reviews how to find the distance between two points on a coordinate grid using the Pythagorean theorem. It explains the need for subscripts to differentiate between coordinates and demonstrates the calculation of horizontal and vertical distances. The tutorial concludes with the derivation of the distance formula, emphasizing its components and application.

What is the purpose of using subscripts for x and y coordinates?

• To make the numbers look more complex

• To differentiate between multiple points

• To confuse the students

• To make calculations easier

What geometric shape is used to apply the Pythagorean theorem for finding the distance between two points?

• Circle

• Square

• Right triangle

• Rectangle

How do you calculate the horizontal distance between two points on a coordinate grid?

• By adding the y-coordinates

• By subtracting the y-coordinates

• By adding the x-coordinates

• By subtracting the x-coordinates

What is the formula for the distance between two points (x1, y1) and (x2, y2) on a coordinate grid?

• d = (x2 + x1) / (y2 + y1)

• d = √((x2 - x1)^2 + (y2 - y1)^2)

• d = (x2 - x1) * (y2 - y1)

• d = (x2 - x1) + (y2 - y1)

What does the Pythagorean theorem state in terms of a right triangle?

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a + b = c^2

• a^2 = b^2 + c^2