Midpoint Formula and Coordinates

This video tutorial explains how to find the midpoint of a line segment using both graphical and formula methods. It begins with a simple example using a graph and then introduces a formula for more complex cases. The formula involves averaging the x and y coordinates of two points. A detailed explanation of the formula is provided, followed by a practice problem involving negative coordinates. The video concludes with a summary of the methods discussed.

What is the main topic covered in this video?

• Understanding the Pythagorean theorem

• Solving quadratic equations

• Calculating the midpoint of a line segment

• Finding the area of a triangle

In the simple example, what are the coordinates of the midpoint between (2, 3) and (6, 9)?

• (3, 6)

• (5, 7)

• (4, 5)

• (4, 6)

Why might the graph method not be suitable in exams?

• The graph method is inaccurate

• Graphs are too complex to draw

• Graphs are not allowed in exams

• The numbers might be more complicated

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

• 8

• 7

• 6

• 5

What is the main advantage of using the formula over the graph method?

• It requires less calculation

• It is more accurate

• It is faster

• It can be used without a graph

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

• 6

• 5

• 7

• 8

What is the first step in using the midpoint formula?

• Label the coordinates as x1, y1 and x2, y2

• Calculate the distance between points

• Draw a graph

• Find the slope of the line

What is the purpose of labeling the coordinates as x1, y1 and x2, y2?

• To identify which point is higher

• To calculate the distance between points

• To find the slope of the line

• To distinguish between the two points

How do you calculate the x-coordinate of the midpoint using the formula?

• Divide x1 by x2

• Multiply x1 and x2 and divide by 2

• Add x1 and x2 and divide by 2

• Subtract x1 from x2 and divide by 2

What is the final answer for the midpoint in the example using the formula?

• (6, 8)

• (4, 6)

• (3, 5)

• (5, 7)