Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![**Title:** Finding the Midpoint of a Line Segment
**Problem Statement:**
Find the midpoint \( M \) of the line segment joining the points \( S = (-8, 8) \) and \( T = (-2, -4) \).
**Diagram Explanation:**
The diagram is a coordinate plane with a line segment connecting two points, \( S \) and \( T \). Point \( S \) is located at \((-8, 8)\) and point \( T \) is at \((-2, -4)\). The line segment between these two points is drawn and shown in blue.
**Calculation Instructions:**
To find the midpoint \( M \) of the line segment, use the midpoint formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Given:
- \( x_1 = -8 \), \( y_1 = 8 \)
- \( x_2 = -2 \), \( y_2 = -4 \)
Substitute these values into the formula to calculate the coordinates of the midpoint \( M \).
**Interactive Elements:**
- There is a box with placeholders for entering the midpoint coordinates.
- There are buttons for additional options or assistance, such as verify (\(\checkmark\)), redo (\(\circlearrowleft\)), or help (\(?\)).
**Additional Information:**
This content is © 2021 McGraw Hill LLC. All rights reserved.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F651c4844-d23e-42f9-bd70-0ed556641800%2F1c133629-ca80-4e9f-812a-acdbfab3cc0c%2Faz94p3s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title:** Finding the Midpoint of a Line Segment
**Problem Statement:**
Find the midpoint \( M \) of the line segment joining the points \( S = (-8, 8) \) and \( T = (-2, -4) \).
**Diagram Explanation:**
The diagram is a coordinate plane with a line segment connecting two points, \( S \) and \( T \). Point \( S \) is located at \((-8, 8)\) and point \( T \) is at \((-2, -4)\). The line segment between these two points is drawn and shown in blue.
**Calculation Instructions:**
To find the midpoint \( M \) of the line segment, use the midpoint formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Given:
- \( x_1 = -8 \), \( y_1 = 8 \)
- \( x_2 = -2 \), \( y_2 = -4 \)
Substitute these values into the formula to calculate the coordinates of the midpoint \( M \).
**Interactive Elements:**
- There is a box with placeholders for entering the midpoint coordinates.
- There are buttons for additional options or assistance, such as verify (\(\checkmark\)), redo (\(\circlearrowleft\)), or help (\(?\)).
**Additional Information:**
This content is © 2021 McGraw Hill LLC. All rights reserved.
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