Chapter 1: Q. 106 (page 42)

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither. $y = 2 x - 3$ , $y = 2 x + 4$

Short Answer

Expert verified

The given lines are parallel.

Step by step solution

Step 1. Given information

Equations of two lines: $y = 2 x - 3$ , $y = 2 x + 4$

Step 2. Determining if the lines are parallel, perpendicular, or neither.

For the lines to be parallel, slopes should be equal and for the lines to be perpendicular, product of slopes is $- 1$ .

Slope-intercept form of the line is $y = m x + b$

For the given lines, slopes are equal, $m_{1} = m_{2} = 2$

Therefore, the given lines are parallel.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither. $y = 2 x - 3$ , $y = 2 x + 4$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determining if the lines are parallel, perpendicular, or neither.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Applied Mathematics

Pure Maths

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.y=2x-3,y=2x+4

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determining if the lines are parallel, perpendicular, or neither.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Applied Mathematics

Pure Maths

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither. $y = 2 x - 3$ , $y = 2 x + 4$