Distance Formula and Pythagorean Theorem

This video tutorial explains how to find the distance between two points using the distance formula. It begins with an introduction to the formula, followed by a detailed example calculation. The video also demonstrates an alternative method using graphs and the Pythagorean theorem. Finally, a practice problem is provided for viewers to apply what they've learned.

What is the first step in using the distance formula?

• Identify the coordinates of the points

• Add the x-coordinates

• Calculate the square root

• Subtract the y-coordinates

In the distance formula, what does 'd' represent?

• The hypotenuse of a triangle

• The difference between x-coordinates

• The distance between two points

• The sum of y-coordinates

What is the result of 4 minus 1 in the distance formula example?

• 2

• 3

• 4

• 5

What is the square of 4?

• 12

• 16

• 20

• 8

How can you visually find the distance between two points?

• By plotting a graph and forming a right triangle

• By using a protractor

• By drawing a straight line

• By drawing a circle

What is the hypotenuse in a right triangle?

• The longest side

• The shortest side

• The side opposite the right angle

• The side adjacent to the right angle

According to the Pythagorean theorem, what is c squared equal to?

• a squared plus b squared

• a squared minus b squared

• a plus b

• a times b

What is the distance between points (1, 2) and (4, 6) using the distance formula?

• 4

• 3

• 5

• 6

What is the result of 9 minus negative 3?

• 6

• 9

• 15

• 12

What is the square root of 169?

• 11

• 14

• 13

• 12