Exploring Distance and Midpoint Formulas in Prealgebra

This video tutorial covers the use of distance and midpoint formulas on a coordinate plane. It provides step-by-step examples of calculating the distance between two points and finding the midpoint of a line segment. The tutorial emphasizes the importance of correctly labeling points and using the formulas accurately. It also highlights the concept of squaring negative numbers to ensure positive results.

What is the purpose of the distance formula?

• To find the slope of a line

• To find the distance between two points

• To find the area of a triangle

• To find the midpoint between two points

What does the variable 'D' represent in the distance formula?

• Division

• Diameter

• Difference

• Distance

If you have points (2, 2) and (6, 5), what is the first step in using the distance formula?

• Subtract the y-coordinates

• Add the y-coordinates

• Add the x-coordinates

• Subtract the x-coordinates

What is the distance between the points (2, 2) and (6, 5)?

• 4 units

• 5 units

• 6 units

• 7 units

When subtracting a negative number in the distance formula, what does it become?

• A positive number

• Zero

• A negative number

• It remains negative

What is the approximate distance between the points (-3, 1) and (2, 3)?

• 4.5 units

• 7.2 units

• 5.4 units

• 6.3 units

What is the purpose of the midpoint formula?

• To find the slope of a line

• To find the distance between two points

• To find the midpoint between two points

• To find the area of a triangle

How do you find the x-coordinate of the midpoint between two points?

• Multiply the x-coordinates and divide by 2

• Divide the x-coordinates by 2

• Add the x-coordinates and divide by 2

• Subtract the x-coordinates and divide by 2

What is the midpoint between the points (2, 3) and (7, 5)?

• (4.5, 4)

• (5, 4.5)

• (4, 4.5)

• (4.5, 5)

What is the midpoint between the points (6, -3) and (4, -7)?

• (6, -5)

• (4, -5)

• (5, -4)

• (5, -5)