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To find the midpoint of \( \overline{AB} \), we use the midpoint formula:

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

Here, \( A(x_1, y_1) \) and \( B(x_2, y_2) \) are the coordinates of points \( A \) and \( B \), respectively.

From the graph:
- The coordinates of point \( A \) are \( (-4, -4) \).
- The coordinates of point \( B \) are \( (2, 4) \).

Substitute these values into the midpoint formula:

\[
M = \left( \frac{-4 + 2}{2}, \frac{-4 + 4}{2} \right) = \left( \frac{-2}{2}, \frac{0}{2} \right) = (-1, 0)
\]

Thus, the midpoint of \( \overline{AB} \) is \( (-1, 0) \).

Would you like further details or have any questions?

Here are five related questions to expand your understanding:
1. How is the midpoint formula derived from the concept of averaging?
2. How can the distance between two points \( A \) and \( B \) be calculated using their coordinates?
3. How does the slope of line \( AB \) relate to the coordinates of \( A \) and \( B \)?
4. Can the midpoint formula be used in three-dimensional space? If so, how?
5. How can you find the equation of the line passing through points \( A \) and \( B \)?

**Tip:** The midpoint of a line segment divides the segment into two equal halves, and it is always the average of the coordinates of the endpoints.

Find the midpoint of \( \overline{AB} \).

Learn how to find the midpoint of a line segment \( \overline{AB} \) with coordinates A(-4, -4) and B(2, 4). This problem uses the midpoint formula and explains key coordinate geometry concepts. Suitable for students in Grades 6-8.

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