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

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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
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55% (hard)

Question Stats:

48% (00:50) correct 52% (01:06) wrong based on 140 sessions

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Attachment:

screen_shot_cordinate_geometry.png [ 41.68 KiB | Viewed 1817 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)

[Reveal] Spoiler:
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.

[Reveal] Spoiler: OA

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

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05 Jan 2013, 22:26
1
KUDOS
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 1795 times ]

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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)

[Reveal] Spoiler:
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...
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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)

[Reveal] Spoiler:
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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14 Aug 2014, 22:43
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Re: What are the equations of the two parallel lines shown here? [#permalink]

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04 Jun 2016, 03:36
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Re: What are the equations of the two parallel lines shown here? [#permalink]

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02 Aug 2017, 00:59
Hello from the GMAT Club BumpBot!

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Re: What are the equations of the two parallel lines shown here?   [#permalink] 02 Aug 2017, 00:59
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