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16 Sep 2014, 01:28
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Which of the following lines is parallel to the line \(x = 6 - 3y\)?
A. \(3x=1-3y\)
B. \(y=\frac{x}{3}+2\)
C. \(y=3x+2\)
D. \(y=-\frac{x}{3}+4\)
E. \(y=-3x+4\)
A. \(3x=1-3y\)
B. \(y=\frac{x}{3}+2\)
C. \(y=3x+2\)
D. \(y=-\frac{x}{3}+4\)
E. \(y=-3x+4\)
16 Sep 2014, 01:28
Kudos
Bookmarks
Official Solution:
Which of the following lines is parallel to the line \(x = 6 - 3y\)?
A. \(3x=1-3y\)
B. \(y=\frac{x}{3}+2\)
C. \(y=3x+2\)
D. \(y=-\frac{x}{3}+4\)
E. \(y=-3x+4\)
Parallel lines have the same slope. Rewrite \(x = 6 - 3y\) as \(y=-\frac{1}{3}x+2\). So, we have that the slope of the line is \(-\frac{1}{3}\) (coefficient of \(x\)). Only the line from option D has the same slope.
Note that while Geometry is not tested on GMAT Focus, Coordinate Geometry is tested under the Functions and Graphing sections found in the Official Guide for GMAT Focus Edition.
Answer: D
Which of the following lines is parallel to the line \(x = 6 - 3y\)?
A. \(3x=1-3y\)
B. \(y=\frac{x}{3}+2\)
C. \(y=3x+2\)
D. \(y=-\frac{x}{3}+4\)
E. \(y=-3x+4\)
Parallel lines have the same slope. Rewrite \(x = 6 - 3y\) as \(y=-\frac{1}{3}x+2\). So, we have that the slope of the line is \(-\frac{1}{3}\) (coefficient of \(x\)). Only the line from option D has the same slope.
Note that while Geometry is not tested on GMAT Focus, Coordinate Geometry is tested under the Functions and Graphing sections found in the Official Guide for GMAT Focus Edition.
Answer: D
04 Feb 2024, 12:24
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
