Find the midpoint of the segment with the following endpoints.
left parenthesis, minus, 9, comma, minus, 10, right parenthesis, and , left parenthesis, 0, comma, minus, 7, right parenthesis
(−9,−10) and (0,−7)

To find the midpoint of a line segment with endpoints \((-9, -10)\) and \((0, -7)\), we use the midpoint formula:

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

Substitute the given coordinates:

- \(x_1 = -9\), \(x_2 = 0\)
- \(y_1 = -10\), \(y_2 = -7\)

Now calculate each part:

\[
\frac{x_1 + x_2}{2} = \frac{-9 + 0}{2} = \frac{-9}{2} = -4.5
\]

\[
\frac{y_1 + y_2}{2} = \frac{-10 + (-7)}{2} = \frac{-17}{2} = -8.5
\]

Thus, the midpoint is:

\[
\boxed{(-4.5, -8.5)}
\]

Would you like further details or have any questions?

---

Here are 5 related questions:
1. How do you find the distance between two points?
2. What is the formula for finding the slope of a line?
3. How would you find the equation of a line passing through two given points?
4. Can the midpoint formula be used in three-dimensional space?
5. What is the relationship between the midpoint and the distance formula?

**Tip:** The midpoint is always halfway between two points on a line, making it useful for finding the center of a segment.

Find the midpoint of the segment with the following endpoints: (−9,−10) and (0,−7)

Learn how to find the midpoint of a line segment with endpoints (−9,−10) and (0,−7) using the midpoint formula. This solution demonstrates step-by-step calculations suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation