Distance Formula and Its Applications

The video tutorial explains how to determine the distance between two points using the distance formula, which is derived from the Pythagorean theorem. It provides an example with specific coordinates, applies the formula, and calculates the distance step-by-step, resulting in a simplified expression. The tutorial emphasizes the importance of careful sign management during calculations.

What is the purpose of the distance formula?

• To find the midpoint between two points

• To determine the slope of a line

• To calculate the distance between two points

• To find the area of a triangle

What are the coordinates of the first endpoint in the example?

• (1, 1)

• (0, 0)

• (-4, 2)

• (2, -1)

What is the first step in applying the distance formula?

• Determine the area

• Calculate the midpoint

• Identify the coordinates of the points

• Find the slope

Which theorem is the distance formula derived from?

• Remainder Theorem

• Binomial Theorem

• Pythagorean Theorem

• Fundamental Theorem of Calculus

What is the result of (2 - -4) in the distance formula calculation?

• 4

• -2

• 6

• 2

What is the square of -3 in the calculation?

• 3

• -9

• -3

• 9

What should you be careful about when using the distance formula?

• The signs of the numbers

• The order of operations

• The type of triangle

• The units of measurement

What is the simplified form of the square root of 45?

• 3√5

• 9√5

• 5√3

• √45

What is the final distance between the two points in the example?

• 5 units

• 3√5 units

• √45 units

• 9 units