GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 28 Jan 2020, 12:17

### 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

# Which of the following is an equation of a line that does NOT contain

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 60727
Which of the following is an equation of a line that does NOT contain  [#permalink]

### Show Tags

03 Dec 2019, 02:11
1
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:18) correct 25% (01:11) wrong based on 44 sessions

### HideShow timer Statistics

Which of the following is an equation of a line that does NOT contain any points in the xy-plane for which both coordinates are integers?

A. $$y = 4$$

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

C. $$y=x+3$$

D. $$y=x+\frac{1}{2}$$

E. $$y=\frac{1}{2}x+3$$

_________________
Manager
Joined: 24 Sep 2019
Posts: 85
Which of the following is an equation of a line that does NOT contain  [#permalink]

### Show Tags

04 Dec 2019, 14:43
y=4 is a horizontal line, meaning the y coordinate is always 4, and it takes on all x values, so we can eliminate A. B is a line with a slope of +1/2 that runs through the origin, meaning it will take the value (0,0), so B can be eliminated. C is a line with a slope of +1 and a y-intercept at 3, meaning it takes on the value of (0,3), so C can be eliminated. D is a line with a slope of 1 with a y intercept at 1/2. Since each x value that is an integer will have a y coordinate that has a .5 at the end, this line will not have an x and y coordinates that are integers, so D is the correct answer.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9159
Location: United States (CA)
Re: Which of the following is an equation of a line that does NOT contain  [#permalink]

### Show Tags

08 Dec 2019, 20:22
Bunuel wrote:
Which of the following is an equation of a line that does NOT contain any points in the xy-plane for which both coordinates are integers?

A. $$y = 4$$

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

C. $$y=x+3$$

D. $$y=x+\frac{1}{2}$$

E. $$y=\frac{1}{2}x+3$$

If x is an integer, then x + ½ can never be an integer. Thus, in choice D, x and y can’t both be integers.

As an exercise, let’s show that all other lines contain points where both coordinates are integers: The points (0, 4), (2, 1), (0, 3) and (2, 4) are on the lines whose equations are given in answer choices A, B, C, and E, respectively.
_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: Which of the following is an equation of a line that does NOT contain   [#permalink] 08 Dec 2019, 20:22
Display posts from previous: Sort by