Memorizing the Midpoint and Distance Formulas with a Twist

The video tutorial introduces the midpoint and distance formulas, explaining how to calculate the midpoint of a line segment using coordinates and how to determine the distance between two points. The tutorial provides a step-by-step guide to understanding and applying these mathematical concepts, emphasizing the importance of ordered pairs and the square root in calculations.

What is the formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

• ((x1 - x2)/2, (y1 - y2)/2)

• (x1 + x2, y1 + y2)

• ((x1 + x2)/2, (y1 + y2)/2)

• (x1 - x2, y1 - y2)

Which of the following best describes the distance formula?

• The difference between the x-coordinates and y-coordinates of two points

• The product of the x-coordinates and y-coordinates of two points

• The square root of the sum of the squared differences of the x-coordinates and y-coordinates

• The sum of the x-coordinates and y-coordinates of two points

If the coordinates of two points are (3, 4) and (7, 1), what is the distance between them?

• 7

• 8

• 5

• 6

What is the first step in using the distance formula?

• Find the difference between the x-coordinates and the y-coordinates

• Square the differences of the coordinates

• Subtract the y-coordinates

• Add the x-coordinates

After finding the squared differences of the coordinates in the distance formula, what is the next step?

• Add the squared differences

• Divide the squared differences

• Subtract the squared differences

• Multiply the squared differences