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To find the midpoint of the line segment joining the points \((-2, 2)\) and \((-8, 9)\), we use the midpoint formula:

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

Plugging in the coordinates of the two points:

\[
x_1 = -2, y_1 = 2, x_2 = -8, y_2 = 9
\]

The calculations for the midpoint coordinates are:

\[
x_{\text{mid}} = \frac{-2 + (-8)}{2} = \frac{-10}{2} = -5
\]
\[
y_{\text{mid}} = \frac{2 + 9}{2} = \frac{11}{2} = 5.5
\]

Thus, the midpoint of the line segment is \(\boxed{(-5, 5.5)}\).

Would you like more details or have any questions about this process?

Here are some related questions you might find interesting:
1. How would you find the distance between the two points?
2. What would be the equation of the line passing through these two points?
3. How would the midpoint change if one of the points is altered?
4. Can you determine the slope of the line segment between these points?
5. How would you find the midpoint if the points were in three-dimensional space?

Tip: Remember, the midpoint formula is essentially averaging the x-coordinates and y-coordinates of the points.

Find the midpoint of the line segment joining the points (-2, -2) and (-8, 9).

Learn how to find the midpoint of a line segment joining the points (-2, -2) and (-8, 9) using the midpoint formula. This problem is suitable for students in Grades 6-8 and focuses on key geometry concepts.

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