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,...
Related questions
Question
![### Slope and Y-Intercept Quiz
**Question:**
Which correctly gives the slope and y-intercept of the line represented by the equation below?
\[ x - y = 2 \]
**Answer Choices:**
1. ○ slope = 1, y-intercept = -2
2. ○ slope = 2, y-intercept = -1
3. ○ slope = -2, y-intercept = 1
4. ○ slope = -1, y-intercept = 2
**Explanation:**
To find the slope and y-intercept of the given equation \( x - y = 2 \), you need to rewrite it in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
1. Rewrite the equation \( x - y = 2 \) as \( -y = -x + 2 \).
2. Multiply through by \( -1 \) to solve for \( y \): \( y = x - 2 \).
From this form, it is clear that the slope \( m \) is 1 and the y-intercept \( b \) is -2.
**Correct answer:**
- slope = 1, y-intercept = -2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1246267-81e7-461b-97b7-8e9aaefad2fd%2F714678a5-4bac-42d2-b7bf-6f94e9c2dbb8%2Ffkkasu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Slope and Y-Intercept Quiz
**Question:**
Which correctly gives the slope and y-intercept of the line represented by the equation below?
\[ x - y = 2 \]
**Answer Choices:**
1. ○ slope = 1, y-intercept = -2
2. ○ slope = 2, y-intercept = -1
3. ○ slope = -2, y-intercept = 1
4. ○ slope = -1, y-intercept = 2
**Explanation:**
To find the slope and y-intercept of the given equation \( x - y = 2 \), you need to rewrite it in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
1. Rewrite the equation \( x - y = 2 \) as \( -y = -x + 2 \).
2. Multiply through by \( -1 \) to solve for \( y \): \( y = x - 2 \).
From this form, it is clear that the slope \( m \) is 1 and the y-intercept \( b \) is -2.
**Correct answer:**
- slope = 1, y-intercept = -2
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra And Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
![Introduction to Linear Algebra, Fifth Edition](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
![College Algebra (Collegiate Math)](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education