Determine the distance between two points on the cartesion grid

The video tutorial explains how to find the distance between two points using the distance formula. It begins by identifying the coordinates of the points and discusses the use of a right triangle and the Pythagorean theorem. The tutorial then explains the distance formula, detailing its components and how to apply it. Finally, it demonstrates the calculation of the distance using the formula, resulting in an approximate value.

What is the purpose of using the distance formula?

• To find the area of a triangle

• To determine the distance between two points

• To calculate the slope of a line

• To find the midpoint between two points

How can the Pythagorean theorem be used in finding the distance between two points?

• By determining the length of the hypotenuse in a right triangle

• By measuring the angle between two lines

• By finding the midpoint of a line segment

• By calculating the area of a triangle

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

• (x2 - x1) + (y2 - y1)

• (x2 + x1)^2 + (y2 + y1)^2

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

• (x2 * x1) + (y2 * y1)

What is the result of the distance calculation between the points (3, 1) and (-2, 5)?

• 5.0

• 6.4

• 7.1

• 8.2

Why is it necessary to use subscripts like x1, x2, y1, and y2 in the distance formula?

• To make the formula look complex

• To differentiate between the coordinates of the two points

• To simplify the calculation

• To avoid using negative numbers