Distance Formula Concepts and Applications

The video tutorial explains how to use the distance formula to find the distance between two points. It covers the formula's application for horizontal, vertical, and diagonal points, emphasizing the importance of subscripts to differentiate between the two points. The tutorial provides a step-by-step guide on subtracting and squaring the coordinates, adding them, and taking the square root to find the distance. An example calculation is demonstrated using specific points to illustrate the process.

What is the primary purpose of the distance formula?

• To find the midpoint between two points

• To find the distance between two points

• To find the slope of a line

• To find the area of a triangle

When is the distance formula particularly useful?

• When points are horizontal

• When points are vertical

• When points are diagonal

• When points are on the same line

What do the subscripts in the distance formula represent?

• The coordinates of the midpoint

• The area of the triangle

• The coordinates of the first and second points

• The slope of the line

In the distance formula, what operation is performed on the x-coordinates?

• Addition

• Multiplication

• Subtraction

• Division

What is the final step in the distance formula?

• Taking the square root of the sum

• Squaring the y-coordinates

• Adding the x-coordinates

• Subtracting the y-coordinates

Given the points (4, 6) and (7, 10), what is the value of (7-4)^2?

• 25

• 16

• 9

• 3

What is the distance between the points (4, 6) and (7, 10)?

• 6

• 4

• 5

• 3