To find the midpoint of a segment with given endpoints, you can use the midpoint formula:

$\text{Midpoint} = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$

Given the endpoints $(-2, 3)$ and $(-6, 9)$, let's apply the formula:

$x_1 = -2, \quad y_1 = 3, \quad x_2 = -6, \quad y_2 = 9$

Substitute these values into the formula:

$\text{Midpoint} = \left(\frac{-2 + (-6)}{2}, \frac{3 + 9}{2}\right)$

Simplify the expressions:

$\text{Midpoint} = \left(\frac{-8}{2}, \frac{12}{2}\right)$

$\text{Midpoint} = (-4, 6)$

So, the midpoint of the segment is $(-4, 6)$.

Would you like to go over any details or have any questions?

Here are some related questions for practice:

1. What is the midpoint of $(1, 4)$ and $(5, 8)$?
2. How do you find the midpoint of a vertical line segment?
3. If one endpoint is $(0, 0)$ and the midpoint is $(2, 3)$, what is the other endpoint?
4. Calculate the midpoint of the segment joining $(7, -2)$ and $(-1, 6)$.
5. Can the midpoint of a segment have non-integer coordinates?
6. How does the midpoint formula relate to the distance formula?
7. What is the geometric interpretation of a midpoint in a coordinate plane?
8. If the midpoint is $(-2, 5)$ and one endpoint is $(-6, 3)$, find the other endpoint.

Tip: Remember that the midpoint is always the average of the corresponding coordinates of the endpoints.