Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![### Problem:
Find the midpoint of the segment with the following endpoints:
\( (2, -9) \) and \( (-4, -4) \)
**Answer:**
[Textbox for user's answer]
[Submit Answer button]
#### Additional Information:
- Attempt 1 out of 2 / problem 2
---
### Explanation:
This problem requires calculating the midpoint of a line segment defined by two given endpoints in a coordinate plane. The coordinates of the endpoints are \((2, -9)\) and \((-4, -4)\).
To find the midpoint, use the midpoint formula:
\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the endpoints.
#### Steps:
1. Identify the coordinates of the endpoints:
- \((2, -9)\)
- \((-4, -4)\)
2. Substitute the values into the midpoint formula:
- \( \text{Midpoint} = \left( \frac{2 + (-4)}{2}, \frac{-9 + (-4)}{2} \right) \)
- Simplify the expressions:
\[ \frac{2 + (-4)}{2} = \frac{-2}{2} = -1 \]
\[ \frac{-9 + (-4)}{2} = \frac{-13}{2} = -6.5 \]
The midpoint is \( (-1, -6.5) \).
#### Graph/Diagram Explanation:
There is no graph or diagram associated with this problem on the webpage screenshot provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb25ca02-7b4c-411b-b0e9-2be290c0742c%2F706a7f6e-9d9f-4421-b6e4-f3d5bbf2f5bc%2Fjkyph3c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem:
Find the midpoint of the segment with the following endpoints:
\( (2, -9) \) and \( (-4, -4) \)
**Answer:**
[Textbox for user's answer]
[Submit Answer button]
#### Additional Information:
- Attempt 1 out of 2 / problem 2
---
### Explanation:
This problem requires calculating the midpoint of a line segment defined by two given endpoints in a coordinate plane. The coordinates of the endpoints are \((2, -9)\) and \((-4, -4)\).
To find the midpoint, use the midpoint formula:
\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the endpoints.
#### Steps:
1. Identify the coordinates of the endpoints:
- \((2, -9)\)
- \((-4, -4)\)
2. Substitute the values into the midpoint formula:
- \( \text{Midpoint} = \left( \frac{2 + (-4)}{2}, \frac{-9 + (-4)}{2} \right) \)
- Simplify the expressions:
\[ \frac{2 + (-4)}{2} = \frac{-2}{2} = -1 \]
\[ \frac{-9 + (-4)}{2} = \frac{-13}{2} = -6.5 \]
The midpoint is \( (-1, -6.5) \).
#### Graph/Diagram Explanation:
There is no graph or diagram associated with this problem on the webpage screenshot provided.
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