https://file.aiquickdraw.com/mathbot/file/1725609821068h7ctbjhc.jpg

Use the graph of AB to find the coordinates of its midpoint M. Enter your answer as an ordered pair on the form (x,y).

To find the midpoint \( M \) of line segment \( AB \), we use the midpoint formula:

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

Where:
- \( A(x_1, y_1) \) are the coordinates of point \( A \),
- \( B(x_2, y_2) \) are the coordinates of point \( B \).

From the graph:
- The coordinates of \( A \) are approximately \( (-5, -6) \),
- The coordinates of \( B \) are approximately \( (10, 3) \).

Now, applying the midpoint formula:

\[
M = \left( \frac{-5 + 10}{2}, \frac{-6 + 3}{2} \right) = \left( \frac{5}{2}, \frac{-3}{2} \right) = (2.5, -1.5)
\]

Thus, the coordinates of the midpoint \( M \) are \( (2.5, -1.5) \).

Would you like further details on how this calculation works, or do you have any other questions?

Here are 5 questions related to this concept:
1. How do you find the distance between two points on a graph?
2. Can the midpoint formula be extended to three dimensions?
3. What are some real-life applications of the midpoint formula?
4. How can you use the midpoint to check for symmetry in geometry?
5. How does the slope of a line segment relate to its midpoint?

**Tip:** Always verify the coordinates by re-checking both points on the graph to avoid any small errors in reading values.

Learn how to find the midpoint of a line segment AB using the midpoint formula in coordinate geometry. This problem involves applying the midpoint formula to points A(-5, -6) and B(10, 3), resulting in a midpoint at (2.5, -1.5). Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation