https://file.aiquickdraw.com/mathbot/file/1727327096344x62oo190.jpg

The graph in the image shows two points, \( A(2, -2) \) and \( B(6, 5) \), on a coordinate plane connected by a line segment.

To find the midpoint of line \( AB \), you can use the midpoint formula:

\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

- \( A(2, -2) \) has coordinates \( (x_1, y_1) = (2, -2) \)
- \( B(6, 5) \) has coordinates \( (x_2, y_2) = (6, 5) \)

Now, let's look at the question: **"How would adding 6 + 2 and then dividing by 2 help you find the midpoint of line \( AB \)?"**

- Adding \( 6 + 2 \) refers to adding the x-coordinates of points \( A \) and \( B \).
- Dividing by 2 gives the average of the x-coordinates, which is the x-coordinate of the midpoint.

So the correct interpretation of this process is finding the **average distance between the two x-values of points \( A \) and \( B \)**.

### Correct Answer:
- **It finds the average distance between the two x-values of points A and B.**

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Do you have any questions or want further details?

Here are 5 related questions:
1. How do you calculate the y-coordinate of the midpoint?
2. Can you explain why dividing by 2 gives the midpoint?
3. How would you find the distance between points \( A \) and \( B \)?
4. What is the significance of finding the midpoint in geometry?
5. How does the midpoint formula relate to the concept of symmetry?

**Tip:** To find the midpoint, always average the x-coordinates and y-coordinates of the points separately.

Using this graph, how would adding 6 + 2 then dividing by 2 help you find the midpoint of line AB?

Learn how to find the midpoint of a line using the midpoint formula with points A(2, -2) and B(6, 5). This problem illustrates how to calculate the midpoint by averaging the x and y coordinates. Suitable for students in Grades 7-9.

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