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The graphed line represents the first equation in a system with no solution. Which could be the second equation in the system? (click on the best answer)

The graphed line represents the first equation in a system with no solution. Which could be the second equation in the system? (click on the best answer)

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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The graphed line represents the first equation in a system with no solution. Which could be the second equation in the system? (click on the best answer) **Graph Explanation:** The graph shows a straight line on a Cartesian plane. The line slopes upward from left to right, intersecting the y-axis at the point (0, 3). This suggests the equation of the line could be in the form of \(y = mx + b\) with a positive slope. **Answer Choices:** a. \(-2x + 4y = 12\) b. \(-3x + 6y = 6\) c. \(2x + 2y = 4\) d. \(x + y = 2\) **Explanation:** The question asks which equation could compose a system with no solution when paired with the graphed line. This indicates the lines are parallel, meaning they have the same slope but different y-intercepts. You would consider the equations in slope-intercept form to determine the correct choice.
Transcribed Image Text:The graphed line represents the first equation in a system with no solution. Which could be the second equation in the system? (click on the best answer) **Graph Explanation:** The graph shows a straight line on a Cartesian plane. The line slopes upward from left to right, intersecting the y-axis at the point (0, 3). This suggests the equation of the line could be in the form of \(y = mx + b\) with a positive slope. **Answer Choices:** a. \(-2x + 4y = 12\) b. \(-3x + 6y = 6\) c. \(2x + 2y = 4\) d. \(x + y = 2\) **Explanation:** The question asks which equation could compose a system with no solution when paired with the graphed line. This indicates the lines are parallel, meaning they have the same slope but different y-intercepts. You would consider the equations in slope-intercept form to determine the correct choice.
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