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# What are the equations of the two parallel lines shown here?

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Manager
Joined: 04 Oct 2011
Posts: 166
Location: India
GMAT 1: 440 Q33 V13
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What are the equations of the two parallel lines shown here?  [#permalink]

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05 Jan 2013, 21:41
11
00:00

Difficulty:

55% (hard)

Question Stats:

50% (01:15) correct 50% (01:33) wrong based on 113 sessions

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Attachment:

screen_shot_cordinate_geometry.png [ 41.68 KiB | Viewed 2263 times ]

What are the equations of the two parallel lines shown here?

(1) Point A has coordinates (0,2)

(2) Point B has coordinates (-3,0)

Why not C?
Using Point A and B, equation of line joining both points can be found, finally slope ( say m)
We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m)
Using one Point A and slope (-1/m) we can derive equation
Like wise, Point B can be done.

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Re: What are the equations of the two parallel lines shown here?  [#permalink]

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05 Jan 2013, 22:22
shanmugamgsn wrote:
Attachment:
screen_shot_cordinate_geometry.png

What are the equations of the two parallel lines shown here?

(1) Point A has coordinates (0,2)

(2) Point B has coordinates (-3,0)

Why not C?
Using Point A and B, equation of line joining both points can be found, finally slope ( say m)
We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m)
Using one Point A and slope (-1/m) we can derive equation
Like wise, Point B can be done.

Do we know that the line joining points A and B is perpendicular to these parallel lines??... The figure suggests so, however, there is no mention of that in the question statement.. We cannot determine that this line is perpendicular...
Senior Manager
Joined: 27 Jun 2012
Posts: 347
Concentration: Strategy, Finance
Schools: Haas EWMBA '17
Re: What are the equations of the two parallel lines shown here?  [#permalink]

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05 Jan 2013, 22:26
2
The diagram given in the problem is deceiving. You assumed the line AB is perpendicular to those parallel lines, however those parallel line can have any slope. Check below diagram.

Coordinates of A & B does not help to find out the slope of parallel lines.
Hence the correct answer choice is (E)

Attachment:

Parallel Lines.jpg [ 86.23 KiB | Viewed 2240 times ]

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Manager
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Re: What are the equations of the two parallel lines shown here?  [#permalink]

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05 Jan 2013, 23:25
Yes MacFauz and PraPon.
You guys are right!!!!

There is no assurance those two point need to be perpendicular neither slope needs to be same ...
I was fooled with diagram!!
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Re: What are the equations of the two parallel lines shown here?  [#permalink]

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06 Jan 2013, 01:16
shanmugamgsn wrote:
Attachment:
screen_shot_cordinate_geometry.png

What are the equations of the two parallel lines shown here?

(1) Point A has coordinates (0,2)

(2) Point B has coordinates (-3,0)

Why not C?
Using Point A and B, equation of line joining both points can be found, finally slope ( say m)
We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m)
Using one Point A and slope (-1/m) we can derive equation
Like wise, Point B can be done.

Similar question to practice: lines-k-and-m-are-parallel-to-each-other-is-the-slope-of-100447.html
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Re: What are the equations of the two parallel lines shown here?  [#permalink]

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26 Nov 2019, 05:27
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What are the equations of the two parallel lines shown here?   [#permalink] 26 Nov 2019, 05:27
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