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of 4+ 2- Find the equation of the line parallel to the line graphed that passes through the point (6,-1). A) y = y =*1 B) C) D)

of 4+ 2- Find the equation of the line parallel to the line graphed that passes through the point (6,-1). A) y = y =*1 B) C) D)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The problem asks to find the equation of a line parallel to the one graphed that passes through the point \((6, -1)\). ### Graph Description: - A coordinate grid is shown with a blue line that slopes downward from left to right. - The x-axis ranges from 0 to 5. - The y-axis ranges from 0 to 6. - The line intersects the y-axis at approximately 6 and moves downward, indicating a negative slope. ### Question Choices: - **A)** \( y = \frac{1}{3}x + 1 \) - **B)** \( y = -\frac{1}{3}x + 1 \) - **C)** \( y = -\frac{1}{3}x + 6 \) (Highlighted as the correct answer) - **D)** \( y = -\frac{7}{6}x + 6 \) The task is to identify which equation represents a line parallel to the given line that passes through the specified point. The correct answer is choice C, which has the same slope as the graph.
Transcribed Image Text:The problem asks to find the equation of a line parallel to the one graphed that passes through the point \((6, -1)\). ### Graph Description: - A coordinate grid is shown with a blue line that slopes downward from left to right. - The x-axis ranges from 0 to 5. - The y-axis ranges from 0 to 6. - The line intersects the y-axis at approximately 6 and moves downward, indicating a negative slope. ### Question Choices: - **A)** \( y = \frac{1}{3}x + 1 \) - **B)** \( y = -\frac{1}{3}x + 1 \) - **C)** \( y = -\frac{1}{3}x + 6 \) (Highlighted as the correct answer) - **D)** \( y = -\frac{7}{6}x + 6 \) The task is to identify which equation represents a line parallel to the given line that passes through the specified point. The correct answer is choice C, which has the same slope as the graph.
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