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Line A has the equation 3x + y = 7. Which of the following

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Magoosh GMAT Instructor
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Line A has the equation 3x + y = 7. Which of the following [#permalink] New post 14 Jan 2013, 14:26
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A
B
C
D
E

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  25% (medium)

Question Stats:

74% (01:26) correct 26% (00:39) wrong based on 121 sessions
Line A has the equation 3x + y = 7. Which of the following lines is perpendicular to Line A?

(A) y = 3x + 4
(B) y = –3x – 6
(C) y = (1/3)x – 1
(D) y = (–1/3)x + 2
(E) y = (–7/3)x – 5


For a full discussion of parallel and perpendicular lines in the coordinate plane, as well as a complete discussion of this particular question, see this blog:
http://magoosh.com/gmat/2012/gmat-math- ... lar-lines/

Mike :-)
[Reveal] Spoiler: OA

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Re: Line A has the equation 3x + y = 7. Which of the following [#permalink] New post 16 Jan 2013, 07:29
C.

slope of line in question is -3. A line that is perpendicular to this line would be the inverse of this number with the opposite sign (1/3).
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Re: Line A has the equation 3x + y = 7. Which of the following [#permalink] New post 16 Jan 2013, 11:11
sambam wrote:
C.

slope of line in question is -3. A line that is perpendicular to this line would be the inverse of this number with the opposite sign (1/3).


i would also go for option C..option c proves to be the best answer for being some sort of a reciprocal and having a positive sign

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Re: Line A has the equation 3x + y = 7. Which of the following [#permalink] New post 12 Oct 2013, 19:20
I first rewrote the equation in the standard y=mx+b form. Therefore, Line A as presented, 3x + y = 7, can be rewritten as follows: y=-3x+7.

Thought process next is what line would be perpendicular to Line A? Any line with a reciprocal of the slope but in the opposite direction. The reciprocal of any fraction/integer is 1 over that number/integer. Therefore the reciprocal of -3 is -1/3 - need to drop the negative sign because the line would kinda run parallel and we want perpendicular. Scan the answers choices and notice C as the only one.
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Re: Line A has the equation 3x + y = 7. Which of the following   [#permalink] 12 Oct 2013, 19:20
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Line A has the equation 3x + y = 7. Which of the following

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