Midpoint and Distance Formulas

The video tutorial explains how to find the length and midpoint of a line segment given two points. It starts by introducing the points and the objectives of the lesson. The first part covers the calculation of the line segment's length using the distance formula. The second part explains how to find the midpoint by averaging the x and y coordinates of the given points.

What are the coordinates of the two points given in the problem?

• (3, 0) and (4, -2)

• (0, 3) and (-2, 4)

• (2, 0) and (4, -3)

• (0, 4) and (-2, 3)

What is the first step in finding the length of the line segment?

• Use the midpoint formula

• Use the distance formula

• Plot the points on a graph

• Calculate the slope

What does the distance formula calculate?

• The area of a triangle

• The midpoint of a line segment

• The slope of a line

• The length of a line segment

Which points are labeled as X1, Y1 in the example?

• (4, -2)

• (3, 0)

• (-2, 4)

• (0, 3)

What is the result of simplifying the distance formula in this example?

• Square root of 3

• Square root of 4

• Square root of 5

• Square root of 6

What is the next task after finding the length of the line segment?

• Find the slope

• Find the perimeter

• Find the midpoint

• Find the area

How do you calculate the midpoint of a line segment?

• By multiplying the coordinates

• By dividing the coordinates

• By subtracting the coordinates

• By finding the average of the x and y coordinates

What is the x-coordinate of the midpoint in this example?

• 2

• 1

• 0

• -1

What is the y-coordinate of the midpoint in this example?

• 3.5

• 4.5

• 5.5

• 7/2

What is the final result for the midpoint of the line segment?

• (-1, 7/2)

• (-1, 5.5)

• (-1, 4.5)

• (-1, 3.5)