Select the correct answer. These lines are parallel. Is this statement true or false? y = -- x+8 2 y =- x-5 3 O A. true В. false 2. 3.

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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**Parallel Lines Identification Practice**

**Select the correct answer:**

Given two linear equations, determine if the lines represented by these equations are parallel.

The equations are as follows:

1. \( y = -\frac{2}{3}x + 8 \)
2. \( y = -\frac{2}{3}x - 5 \)

**Question:**
These lines are parallel. Is this statement true or false?

**Options:**
- A. true
- B. false

To determine whether the lines are parallel, compare their slopes. If the slopes are equal, the lines are parallel.

Explanation of the process:
1. Equation 1: \( y = -\frac{2}{3}x + 8 \)
   - Slope: \( -\frac{2}{3} \)
2. Equation 2: \( y = -\frac{2}{3}x - 5 \)
   - Slope: \( -\frac{2}{3} \)

Since both equations have the same slope \( -\frac{2}{3} \), the lines are indeed parallel.

**Select the correct answer:**
- A. true

By understanding this concept, you can accurately determine the relationship between two lines by examining their slopes.
Transcribed Image Text:**Parallel Lines Identification Practice** **Select the correct answer:** Given two linear equations, determine if the lines represented by these equations are parallel. The equations are as follows: 1. \( y = -\frac{2}{3}x + 8 \) 2. \( y = -\frac{2}{3}x - 5 \) **Question:** These lines are parallel. Is this statement true or false? **Options:** - A. true - B. false To determine whether the lines are parallel, compare their slopes. If the slopes are equal, the lines are parallel. Explanation of the process: 1. Equation 1: \( y = -\frac{2}{3}x + 8 \) - Slope: \( -\frac{2}{3} \) 2. Equation 2: \( y = -\frac{2}{3}x - 5 \) - Slope: \( -\frac{2}{3} \) Since both equations have the same slope \( -\frac{2}{3} \), the lines are indeed parallel. **Select the correct answer:** - A. true By understanding this concept, you can accurately determine the relationship between two lines by examining their slopes.
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