https://file.aiquickdraw.com/mathbot/file/17297681623265ur1ogbt.jpg

To find the coordinates of point \( M \), which is the midpoint of line segment \( AB \), we can use the midpoint formula. Given two points \( A(x_1, y_1) \) and \( B(x_2, y_2) \), the midpoint \( M \) is calculated as:

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

From the diagram:
- \( A(2, 6) \)
- \( B(8, 6) \)

Substituting these values into the formula:

\[
M_x = \frac{2 + 8}{2} = \frac{10}{2} = 5
\]
\[
M_y = \frac{6 + 6}{2} = \frac{12}{2} = 6
\]

Thus, the coordinates of \( M \) are \( (5, 6) \).

Would you like any further details or explanations?

Here are 5 related questions:
1. What is the general formula for finding the midpoint between two points?
2. How would you calculate the length of line segment \( AB \)?
3. Can the midpoint formula be applied in three-dimensional space, and if so, how?
4. What happens if the coordinates of points \( A \) and \( B \) include negative values?
5. How would you verify that point \( M \) is the true midpoint of \( AB \)?

**Tip:** The midpoint formula is a simple average of the x and y coordinates of the two endpoints.

Point M is the midpoint of line segment AB, shown below. Work out the coordinates of point M. A(2, 6) and B(8, 6).

Learn how to calculate the midpoint of a line segment AB with coordinates A(2, 6) and B(8, 6). This problem demonstrates the midpoint formula, essential for coordinate geometry, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation