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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![**Question 10**
What is the slope of the following equation: \(4 + y - 1 = 3y - 3\)
Options:
- A) \(-3/4\)
- B) 3
- C) \(3/4\)
- D) 0
- E) None of these
- F) Undefined
**Explanation:**
To find the slope, first simplify the equation to the slope-intercept form \(y = mx + b\), where \(m\) represents the slope.
Start with the given equation:
1. Simplify: \(4 + y - 1 = 3y - 3\)
\[
y + 3 = 3y - 3
\]
2. Move the terms involving \(y\) to one side and constant terms to the other side:
\[
y - 3y = -3 - 3
\]
\[
-2y = -6
\]
3. Divide by -2 to solve for \(y\):
\[
y = 3
\]
In this case, the equation simplifies to \(y = 3\), which is a horizontal line with a slope of 0.
Thus, the correct answer is **D) 0**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28b27689-10ed-4307-b3bd-ec96e81b0de9%2Fc6f05fc5-14bf-4f09-b09e-2d1dbf976257%2Fh3xzv1c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 10**
What is the slope of the following equation: \(4 + y - 1 = 3y - 3\)
Options:
- A) \(-3/4\)
- B) 3
- C) \(3/4\)
- D) 0
- E) None of these
- F) Undefined
**Explanation:**
To find the slope, first simplify the equation to the slope-intercept form \(y = mx + b\), where \(m\) represents the slope.
Start with the given equation:
1. Simplify: \(4 + y - 1 = 3y - 3\)
\[
y + 3 = 3y - 3
\]
2. Move the terms involving \(y\) to one side and constant terms to the other side:
\[
y - 3y = -3 - 3
\]
\[
-2y = -6
\]
3. Divide by -2 to solve for \(y\):
\[
y = 3
\]
In this case, the equation simplifies to \(y = 3\), which is a horizontal line with a slope of 0.
Thus, the correct answer is **D) 0**.
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