What is the slope of the following equation: 4+y-1= 3y-3 A -3/4 3 3/4 D 0. E None of these undefined

Algebra and Trigonometry (6th Edition)
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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**.
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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