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To find the midpoint \( M \) of a line segment joining two points \( P = (-6, -1) \) and \( Q = (-2, 5) \), we use the midpoint formula:

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

Given:
- \( P(x_1, y_1) = (-6, -1) \)
- \( Q(x_2, y_2) = (-2, 5) \)

Now apply the formula:
\[
M_x = \frac{-6 + (-2)}{2} = \frac{-6 - 2}{2} = \frac{-8}{2} = -4
\]
\[
M_y = \frac{-1 + 5}{2} = \frac{4}{2} = 2
\]

Thus, the midpoint \( M \) is:
\[
M = (-4, 2)
\]

Would you like any further explanation or more details on this?

Here are 5 related questions to expand your knowledge:
1. How would you find the distance between the two points \( P \) and \( Q \)?
2. Can you find the slope of the line passing through \( P \) and \( Q \)?
3. What is the equation of the line passing through \( P \) and \( Q \)?
4. How would the midpoint change if one of the points was shifted to a different location?
5. Can you determine the coordinates of the midpoint if the points \( P \) and \( Q \) were in three dimensions?

**Tip:** The midpoint formula can also be extended to higher dimensions, such as three-dimensional space.

Find the midpoint M of the line segment joining the points P = (-6, -1) and Q = (-2, 5).

Learn how to find the midpoint of a line segment joining the points P = (-6, -1) and Q = (-2, 5). This problem involves the midpoint formula and basic concepts in coordinate geometry. Suitable for students in Grades 8-10.

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