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16 Sep 2014, 00:35
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Which of the following lines is parallel to line \(x = 4 - 2y\)?
A. \(y=2x+4\)
B. \(y=-2x-4\)
C. \(\frac{x}{2} - y = 4\)
D. \(y + \frac{x}{2} = 4\)
E. \(2y=2-\frac{1}{2}x\)
A. \(y=2x+4\)
B. \(y=-2x-4\)
C. \(\frac{x}{2} - y = 4\)
D. \(y + \frac{x}{2} = 4\)
E. \(2y=2-\frac{1}{2}x\)
16 Sep 2014, 00:35
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Official Solution:
Which of the following lines is parallel to line \(x = 4 - 2y\)?
A. \(y=2x+4\)
B. \(y=-2x-4\)
C. \(\frac{x}{2} - y = 4\)
D. \(y + \frac{x}{2} = 4\)
E. \(2y=2-\frac{1}{2}x\)
Rewrite \(x = 4 - 2y\) as \(y=2-\frac{1}{2}x\), so the slope if this line is \(-\frac{1}{2}\). Now, since parallel lines have the same slope then a line parallel to the given line must also have the same slope.
Option D satisfies this. (\(y + \frac{x}{2} = 4\) is the same as \(y=4-\frac{1}{2}x\)).
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 Focus Edition.
Answer: D
Which of the following lines is parallel to line \(x = 4 - 2y\)?
A. \(y=2x+4\)
B. \(y=-2x-4\)
C. \(\frac{x}{2} - y = 4\)
D. \(y + \frac{x}{2} = 4\)
E. \(2y=2-\frac{1}{2}x\)
Rewrite \(x = 4 - 2y\) as \(y=2-\frac{1}{2}x\), so the slope if this line is \(-\frac{1}{2}\). Now, since parallel lines have the same slope then a line parallel to the given line must also have the same slope.
Option D satisfies this. (\(y + \frac{x}{2} = 4\) is the same as \(y=4-\frac{1}{2}x\)).
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 Focus Edition.
Answer: D
General Discussion
29 Nov 2019, 09:14
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Bunuel
Two lines are parallel if they have the same slope.
Slope of given line :
\(x = 4 - 2y\)
\(4 - x = 2y\)
\(2+(-1/2)x=y\)
Comparing it with y=mx+c gives us m (slope) as -1/2
A quick scan through options will make you realise C or D are likely choices. Once you solve D is the right answer with slope as \((-1/2)\)
