GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 08 Dec 2019, 00:56

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# M07-29

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59588

### Show Tags

16 Sep 2014, 00:35
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:54) correct 26% (01:01) wrong based on 107 sessions

### HideShow timer Statistics

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. $$2y=2-\frac{1}{2}x$$

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 59588

### Show Tags

16 Sep 2014, 00:35
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 $$y=4-\frac{1}{2}x$$).

_________________
Director
Joined: 18 Dec 2017
Posts: 826
Location: United States (KS)

### Show Tags

29 Nov 2019, 09:14
Bunuel wrote:
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. $$2y=2-\frac{1}{2}x$$

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 $$(-1/2)$$
_________________
D-Day : 21st December 2019

The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
Manager
Joined: 16 May 2019
Posts: 138

### Show Tags

29 Nov 2019, 16:12
1
Bunuel wrote:
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. $$2y=2-\frac{1}{2}x$$

Caveat: I would just like to point out that it is not beyond the question-writers to place a trick answer among the responses that would correspond to the same line, rather than to one that was actually parallel. Yes, the slope of parallel lines must be the same, but the y-intercept must also be different, or else the two apparent lines would be one and the same. I could easily see an answer such as $$\frac{x}{2} = 2 - y$$ appearing on the test, more likely in slots (A), (B), or (C) to snare some unwitting test-taker who might be in a hurry.

- Andrew
Re: M07-29   [#permalink] 29 Nov 2019, 16:12
Display posts from previous: Sort by

# M07-29

Moderators: chetan2u, Bunuel