To find the midpoint of a line segment given two endpoints, we use the midpoint formula:

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

Given endpoints are $(-2, 3)$ and $(-6, 9)$, where:

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

Now, apply the midpoint formula:

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

Simplify each coordinate:

$\text{Midpoint} = \left( \frac{-8}{2}, \frac{12}{2} \right) = (-4, 6)$

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

Would you like further details or have any questions?

Here are some related questions you might consider:

1. How do you calculate the distance between two points?
2. How do you find the slope of a line segment between two points?
3. What is the equation of a line given two points?
4. How do you find the equation of the perpendicular bisector of a line segment?
5. How do you use the midpoint formula in three dimensions?

Tip: The midpoint formula is useful for dividing a line segment exactly in half!