equation is equi Dy= 6x-48

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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Which equation is equivalent to y-6=-12(x+4)
Below is the transcription of the text as it might appear on an educational website, along with explanations of the equations:

### Equation Options:

1. \(y = -6x - 48\)
2. \(y = 6x - 48\)
3. \(y = -12x - 42\) 
4. \(y = -12x - 54\)

#### Explanation:

These are linear equations of the form \(y = mx + b\), where \(m\) represents the slope of the line and \(b\) represents the y-intercept. 

- **Option 1:** The equation has a slope (\(m\)) of \(-6\) and a y-intercept (\(b\)) of \(-48\).
- **Option 2:** The slope is \(6\) and the y-intercept is \(-48\).
- **Option 3:** This option has a slope of \(-12\) and a y-intercept of \(-42\).
- **Option 4:** Features a slope of \(-12\) and a y-intercept of \(-54\).

The highlighted option on this list indicates the selection of \(\boldsymbol{y = -12x - 42}\). Each equation represents a straight line on a Cartesian plane, with the differences in slopes and y-intercepts affecting the steepness and position of those lines relative to the y-axis.
Transcribed Image Text:Below is the transcription of the text as it might appear on an educational website, along with explanations of the equations: ### Equation Options: 1. \(y = -6x - 48\) 2. \(y = 6x - 48\) 3. \(y = -12x - 42\) 4. \(y = -12x - 54\) #### Explanation: These are linear equations of the form \(y = mx + b\), where \(m\) represents the slope of the line and \(b\) represents the y-intercept. - **Option 1:** The equation has a slope (\(m\)) of \(-6\) and a y-intercept (\(b\)) of \(-48\). - **Option 2:** The slope is \(6\) and the y-intercept is \(-48\). - **Option 3:** This option has a slope of \(-12\) and a y-intercept of \(-42\). - **Option 4:** Features a slope of \(-12\) and a y-intercept of \(-54\). The highlighted option on this list indicates the selection of \(\boldsymbol{y = -12x - 42}\). Each equation represents a straight line on a Cartesian plane, with the differences in slopes and y-intercepts affecting the steepness and position of those lines relative to the y-axis.
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