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--- ### Finding the Slope and y-intercept of a Line You are given the following equation and asked to find the slope and the y-intercept of the line: \[ -7x - 2y = -6 \] Write your answers in simplest form. #### Steps: 1. To find the slope and y-intercept, we need to rearrange this equation into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. 2. Begin by isolating \(y\): \[ -2y = 7x - 6 \] 3. Divide every term by \(-2\) to solve for \(y\): \[ y = -\frac{7}{2}x + 3 \] #### Results: - **Slope (m):** \(-\frac{7}{2}\) - **y-intercept (b):** \(3\) Use the provided input boxes to enter your answers. - **Slope:** \[ \boxed{\text{-}\frac{7}{2}} \] - **y-intercept:** \[ \boxed{3} \] Once you have entered your answers, click "Check" to verify if they are correct. --- This transcription should clearly guide students on how to determine the slope and y-intercept from the given linear equation.

--- ### Finding the Slope and y-intercept of a Line You are given the following equation and asked to find the slope and the y-intercept of the line: \[ -7x - 2y = -6 \] Write your answers in simplest form. #### Steps: 1. To find the slope and y-intercept, we need to rearrange this equation into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. 2. Begin by isolating \(y\): \[ -2y = 7x - 6 \] 3. Divide every term by \(-2\) to solve for \(y\): \[ y = -\frac{7}{2}x + 3 \] #### Results: - **Slope (m):** \(-\frac{7}{2}\) - **y-intercept (b):** \(3\) Use the provided input boxes to enter your answers. - **Slope:** \[ \boxed{\text{-}\frac{7}{2}} \] - **y-intercept:** \[ \boxed{3} \] Once you have entered your answers, click "Check" to verify if they are correct. --- This transcription should clearly guide students on how to determine the slope and y-intercept from the given linear equation.

Algebra and Trigonometry (6th Edition)
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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--- ### Finding the Slope and y-intercept of a Line You are given the following equation and asked to find the slope and the y-intercept of the line: \[ -7x - 2y = -6 \] Write your answers in simplest form. #### Steps: 1. To find the slope and y-intercept, we need to rearrange this equation into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. 2. Begin by isolating \(y\): \[ -2y = 7x - 6 \] 3. Divide every term by \(-2\) to solve for \(y\): \[ y = -\frac{7}{2}x + 3 \] #### Results: - **Slope (m):** \(-\frac{7}{2}\) - **y-intercept (b):** \(3\) Use the provided input boxes to enter your answers. - **Slope:** \[ \boxed{\text{-}\frac{7}{2}} \] - **y-intercept:** \[ \boxed{3} \] Once you have entered your answers, click "Check" to verify if they are correct. --- This transcription should clearly guide students on how to determine the slope and y-intercept from the given linear equation.
Transcribed Image Text:--- ### Finding the Slope and y-intercept of a Line You are given the following equation and asked to find the slope and the y-intercept of the line: \[ -7x - 2y = -6 \] Write your answers in simplest form. #### Steps: 1. To find the slope and y-intercept, we need to rearrange this equation into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. 2. Begin by isolating \(y\): \[ -2y = 7x - 6 \] 3. Divide every term by \(-2\) to solve for \(y\): \[ y = -\frac{7}{2}x + 3 \] #### Results: - **Slope (m):** \(-\frac{7}{2}\) - **y-intercept (b):** \(3\) Use the provided input boxes to enter your answers. - **Slope:** \[ \boxed{\text{-}\frac{7}{2}} \] - **y-intercept:** \[ \boxed{3} \] Once you have entered your answers, click "Check" to verify if they are correct. --- This transcription should clearly guide students on how to determine the slope and y-intercept from the given linear equation.
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