Distance and Midpoint Formulas

The video tutorial reviews the distance and midpoint formulas, demonstrating how to calculate the distance between two points and find the radius of a circle. It also covers solving for Y values that are a specific distance from a point and using the midpoint formula to find coordinates. The tutorial includes examples and step-by-step explanations to reinforce understanding.

What is the primary purpose of 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

Which of the following is the correct representation of the distance formula?

• D = (X2 - X1) + (Y2 - Y1)

• D = (X2 + X1) / 2 + (Y2 + Y1) / 2

• D = (X2 - X1) * (Y2 - Y1)

• D = √((X2 - X1)² + (Y2 - Y1)²)

What is the distance between the points (-2, 1) and (1, 5)?

• 9 units

• 5 units

• 3 units

• 7 units

If the center of a circle is at (2, -3) and a point on the circle is (-1, -2), what is the radius?

• 5

• √5

• 10

• √10

How do you find the Y values that are 10 units away from the point (-2, 1)?

• By using the distance formula

• By calculating the slope

• By solving a quadratic equation

• By using the midpoint formula

What is the midpoint formula used for?

• To find the distance between two points

• To find the midpoint between two points

• To determine the radius of a circle

• To calculate the slope of a line

What is the midpoint between the points (-1, 2) and (3, -6)?

• (-1, 3)

• (0, 0)

• (2, -1)

• (1, -2)

If (-2, 5) is the midpoint between (P, 2) and (-1, 3), what is the value of P?

• -3

• 0

• 1

• 3