The equations of three lines are given below. Line 1: -3y=4x+7 3 4x +3 Line 2: y=- Line 3: 8x-6y=4 For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: O Parallel O Perpendicular O Neither Line 1 and Line 3: O Parallel O Perpendicular Neither O Perpendicular O Neither Line 2 and Line 3: O Parallel Español ? N 0 M
The equations of three lines are given below. Line 1: -3y=4x+7 3 4x +3 Line 2: y=- Line 3: 8x-6y=4 For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: O Parallel O Perpendicular O Neither Line 1 and Line 3: O Parallel O Perpendicular Neither O Perpendicular O Neither Line 2 and Line 3: O Parallel Español ? N 0 M
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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For each pair of lines, determine whether they are parallel, perpendicular, or neither.
the equations are in the screenshot
![**Identifying Parallel and Perpendicular Lines from Equations**
The equations of three lines are given below:
- **Line 1:** \(-3y = 4x + 7\)
- **Line 2:** \(y = -\frac{3}{4}x + 3\)
- **Line 3:** \(8x - 6y = 4\)
**For each pair of lines, determine whether they are parallel, perpendicular, or neither.**
Options for each pair:
- **Line 1 and Line 2:**
- [ ] Parallel
- [ ] Perpendicular
- [ ] Neither
- **Line 1 and Line 3:**
- [ ] Parallel
- [ ] Perpendicular
- [ ] Neither
- **Line 2 and Line 3:**
- [ ] Parallel
- [ ] Perpendicular
- [ ] Neither
**Explanation:**
To determine if the lines are parallel, perpendicular, or neither, find the slopes of each line by rewriting them in the slope-intercept form \(y = mx + b\), where \(m\) is the slope. Lines are parallel if their slopes are equal and perpendicular if the product of their slopes is \(-1\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b6090aa-e49f-4bf7-a615-22a038ddc3e9%2F7a7d49d0-30f7-4acf-a1b7-6f2c7df58e01%2Fcl3butz_processed.png&w=3840&q=75)
Transcribed Image Text:**Identifying Parallel and Perpendicular Lines from Equations**
The equations of three lines are given below:
- **Line 1:** \(-3y = 4x + 7\)
- **Line 2:** \(y = -\frac{3}{4}x + 3\)
- **Line 3:** \(8x - 6y = 4\)
**For each pair of lines, determine whether they are parallel, perpendicular, or neither.**
Options for each pair:
- **Line 1 and Line 2:**
- [ ] Parallel
- [ ] Perpendicular
- [ ] Neither
- **Line 1 and Line 3:**
- [ ] Parallel
- [ ] Perpendicular
- [ ] Neither
- **Line 2 and Line 3:**
- [ ] Parallel
- [ ] Perpendicular
- [ ] Neither
**Explanation:**
To determine if the lines are parallel, perpendicular, or neither, find the slopes of each line by rewriting them in the slope-intercept form \(y = mx + b\), where \(m\) is the slope. Lines are parallel if their slopes are equal and perpendicular if the product of their slopes is \(-1\).
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