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To find the midpoint \( M \) of a line segment joining two points \( A = (-8, 4) \) and \( B = (-4, -2) \), we use the midpoint formula:

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

### Step-by-Step Solution:
1. **Identify the coordinates of points** \( A \) and \( B \):
   - \( A = (-8, 4) \)
   - \( B = (-4, -2) \)

2. **Apply the midpoint formula**:
   - \( x_1 = -8 \), \( y_1 = 4 \)
   - \( x_2 = -4 \), \( y_2 = -2 \)

\[
M = \left( \frac{-8 + (-4)}{2}, \frac{4 + (-2)}{2} \right)
\]

3. **Calculate each component**:
   - \( \frac{-8 + (-4)}{2} = \frac{-12}{2} = -6 \)
   - \( \frac{4 + (-2)}{2} = \frac{2}{2} = 1 \)

4. **Midpoint**:
\[
M = (-6, 1)
\]

Thus, the midpoint \( M \) is **(-6, 1)**.

Would you like more details or have any questions? Here are some related problems for practice:

1. What is the midpoint of \( (3, -5) \) and \( (-7, 10) \)?
2. Find the midpoint of \( (0, 0) \) and \( (6, -4) \).
3. What is the midpoint of \( (-12, 7) \) and \( (-8, -3) \)?
4. How do you find the midpoint when given the equation of a line?
5. Can you explain the geometric significance of a midpoint?

**Tip:** The midpoint always divides a line segment into two equal halves, making it useful for finding symmetry.

Find the midpoint M of the line segment joining the points A = (-8, 4) and B = (-4, -2).

This example demonstrates how to find the midpoint of a line segment joining the points A = (-8, 4) and B = (-4, -2) using the midpoint formula. This problem is suitable for students in Grades 6-8 and covers key geometry concepts.

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