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# Which of the following equations represents a line on xy-plane that

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Intern
Joined: 27 Jan 2015
Posts: 6
Concentration: Marketing, Economics
GMAT Date: 03-26-2015
Which of the following equations represents a line on xy-plane that  [#permalink]

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15 Oct 2015, 17:21
3
9
00:00

Difficulty:

55% (hard)

Question Stats:

57% (01:54) correct 43% (01:44) wrong based on 117 sessions

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Which of the following equations represents a line on xy-plane that includes exactly only one point P(Xp; Yp) with integer coordinates (Xp and Yp are both integer numbers)?

a) y= 2x
b) 2x-2y+1=0
c) y-5=3x
d) 2y-√2.x =0
e) 2y= x+2
CEO
Joined: 20 Mar 2014
Posts: 2629
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: Which of the following equations represents a line on xy-plane that  [#permalink]

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15 Oct 2015, 18:07
fla162 wrote:
Which of the following equations represents a line on xy-plane that includes exactly only one point P(Xp; Yp) with integer coordinates (Xp and Yp are both integer numbers)?

a) y= 2x
b) 2x-2y+1=0
c) y-5=3x
d) 2y-√2.x =0
e) 2y= x+2

Easiest way is to do POE for the options to arrive at the correct answer. Incorrect options will either provide 0 integer coordinate pairs or will provide >1 integer coordinate pairs.

a) y= 2x , (0,0) m (1,2) etc. Eliminate
b) 2x-2y+1=0 --> y=x+0.5 , no integer coordinate pairs. Eliminate
c) y-5=3x ---> y=3x+5, (0,5), (1,8) etc. Eliminate
d) 2y-√2.x =0 ---> Only case possible = (0,0). Rest of them will be functions of $$\sqrt{2}$$. Keep
e) 2y= x+2 ---> y=x/2+1 ---> (2,2) , (4,3) etc. Eliminate

Thus, D is the correct answer.

Hope this helps.
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Joined: 09 Sep 2013
Posts: 9834
Re: Which of the following equations represents a line on xy-plane that  [#permalink]

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24 Oct 2018, 08:37
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Re: Which of the following equations represents a line on xy-plane that   [#permalink] 24 Oct 2018, 08:37
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