Find the midpoint of the segment with the following endpoints.

left parenthesis, minus, 10, comma, minus, 7, right parenthesis, and , left parenthesis, minus, 4, comma, minus, 4, right parenthesis

(−10,−7) and (−4,−4)

To find the midpoint of the segment with the given endpoints \((-10, -7)\) and \((-4, -4)\), we'll use the midpoint formula:

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

Substitute the values:

\[
\text{Midpoint} = \left( \frac{-10 + (-4)}{2}, \frac{-7 + (-4)}{2} \right)
\]

Simplify each coordinate:

\[
\text{Midpoint} = \left( \frac{-14}{2}, \frac{-11}{2} \right) = \left( -7, -5.5 \right)
\]

So, the midpoint of the segment is \(\boxed{(-7, -5.5)}\).

Would you like more details on this calculation or have any further questions?

Here are some related questions:
1. What is the distance between these two points?
2. How do you find the slope of the line passing through these points?
3. If the coordinates of both points are doubled, what would the new midpoint be?
4. What would happen to the midpoint if both endpoints were reflected across the origin?
5. How would you find the equation of the line segment that passes through these points?

**Tip:** Midpoints provide a useful way to find the exact center between two points on a coordinate plane.

Learn how to find the midpoint of a segment with endpoints (-10, -7) and (-4, -4) using the midpoint formula. This problem covers key concepts in coordinate geometry and includes step-by-step calculations. Suitable for students in Grades 7-9.

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