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)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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For each pair of lines, determine whether they are parallel, perpendicular, or neither.

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**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 \(-1\).
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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