### Analyzing the Equations of Three Lines The equations of three lines are given below: 1. **Line 1:** \[ 2y = -5x + 5 \] 2. **Line 2:** \[ 4x - 10y = 4 \] 3. **Line 3:** \[ y = \frac{5}{2}x + 7 \] For each pair of lines, determine whether they are parallel, perpendicular, or neither. In the table below, identify the relationship between each pair of lines by selecting "Parallel," "Perpendicular," or "Neither." | Pair of Lines | Parallel ( ) | Perpendicular ( ) | Neither ( ) | |---------------------|--------------|-------------------|-------------| | Line 1 and Line 2 | | | | | Line 1 and Line 3 | | | | | Line 2 and Line 3 | | | | --- ### Instructions: For each of the pairs of lines mentioned: 1. **Line 1 and Line 2**: Compare the slopes of the two lines to determine if they are parallel, perpendicular, or neither. 2. **Line 1 and Line 3**: Perform the same comparison for Line 1 and Line 3. 3. **Line 2 and Line 3**: Perform the same comparison for Line 2 and Line 3. ### To Determine Line Relationships: - **Parallel Lines** have the same slope. - **Perpendicular Lines** have slopes that are negative reciprocals of each other. - **Neither** if they do not meet the criteria for being parallel or perpendicular. After determining the relationship for each pair, select the appropriate option in the table. --- Click "Continue" when you are ready to proceed. Continue ( button )
### Analyzing the Equations of Three Lines The equations of three lines are given below: 1. **Line 1:** \[ 2y = -5x + 5 \] 2. **Line 2:** \[ 4x - 10y = 4 \] 3. **Line 3:** \[ y = \frac{5}{2}x + 7 \] For each pair of lines, determine whether they are parallel, perpendicular, or neither. In the table below, identify the relationship between each pair of lines by selecting "Parallel," "Perpendicular," or "Neither." | Pair of Lines | Parallel ( ) | Perpendicular ( ) | Neither ( ) | |---------------------|--------------|-------------------|-------------| | Line 1 and Line 2 | | | | | Line 1 and Line 3 | | | | | Line 2 and Line 3 | | | | --- ### Instructions: For each of the pairs of lines mentioned: 1. **Line 1 and Line 2**: Compare the slopes of the two lines to determine if they are parallel, perpendicular, or neither. 2. **Line 1 and Line 3**: Perform the same comparison for Line 1 and Line 3. 3. **Line 2 and Line 3**: Perform the same comparison for Line 2 and Line 3. ### To Determine Line Relationships: - **Parallel Lines** have the same slope. - **Perpendicular Lines** have slopes that are negative reciprocals of each other. - **Neither** if they do not meet the criteria for being parallel or perpendicular. After determining the relationship for each pair, select the appropriate option in the table. --- Click "Continue" when you are ready to proceed. Continue ( button )
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,...
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![### Analyzing the Equations of Three Lines
The equations of three lines are given below:
1. **Line 1:**
\[ 2y = -5x + 5 \]
2. **Line 2:**
\[ 4x - 10y = 4 \]
3. **Line 3:**
\[ y = \frac{5}{2}x + 7 \]
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
In the table below, identify the relationship between each pair of lines by selecting "Parallel," "Perpendicular," or "Neither."
| Pair of Lines | Parallel ( ) | Perpendicular ( ) | Neither ( ) |
|---------------------|--------------|-------------------|-------------|
| Line 1 and Line 2 | | | |
| Line 1 and Line 3 | | | |
| Line 2 and Line 3 | | | |
---
### Instructions:
For each of the pairs of lines mentioned:
1. **Line 1 and Line 2**: Compare the slopes of the two lines to determine if they are parallel, perpendicular, or neither.
2. **Line 1 and Line 3**: Perform the same comparison for Line 1 and Line 3.
3. **Line 2 and Line 3**: Perform the same comparison for Line 2 and Line 3.
### To Determine Line Relationships:
- **Parallel Lines** have the same slope.
- **Perpendicular Lines** have slopes that are negative reciprocals of each other.
- **Neither** if they do not meet the criteria for being parallel or perpendicular.
After determining the relationship for each pair, select the appropriate option in the table.
---
Click "Continue" when you are ready to proceed.
Continue ( button )](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2a0c424-9580-4921-9cbc-e3b4792ff10b%2F5b59e2ca-ae41-48e9-9e1a-30c1bfd10647%2Fggvlou8.jpeg&w=3840&q=75)
Transcribed Image Text:### Analyzing the Equations of Three Lines
The equations of three lines are given below:
1. **Line 1:**
\[ 2y = -5x + 5 \]
2. **Line 2:**
\[ 4x - 10y = 4 \]
3. **Line 3:**
\[ y = \frac{5}{2}x + 7 \]
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
In the table below, identify the relationship between each pair of lines by selecting "Parallel," "Perpendicular," or "Neither."
| Pair of Lines | Parallel ( ) | Perpendicular ( ) | Neither ( ) |
|---------------------|--------------|-------------------|-------------|
| Line 1 and Line 2 | | | |
| Line 1 and Line 3 | | | |
| Line 2 and Line 3 | | | |
---
### Instructions:
For each of the pairs of lines mentioned:
1. **Line 1 and Line 2**: Compare the slopes of the two lines to determine if they are parallel, perpendicular, or neither.
2. **Line 1 and Line 3**: Perform the same comparison for Line 1 and Line 3.
3. **Line 2 and Line 3**: Perform the same comparison for Line 2 and Line 3.
### To Determine Line Relationships:
- **Parallel Lines** have the same slope.
- **Perpendicular Lines** have slopes that are negative reciprocals of each other.
- **Neither** if they do not meet the criteria for being parallel or perpendicular.
After determining the relationship for each pair, select the appropriate option in the table.
---
Click "Continue" when you are ready to proceed.
Continue ( button )
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