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Lines k and m are parallel to each other. Is the slope of

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Lines k and m are parallel to each other. Is the slope of [#permalink] New post 11 Nov 2008, 13:40
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

75% (01:49) correct 25% (00:25) wrong based on 23 sessions
Lines k and m are parallel to each other. Is the slope of line k positive?
(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Re: k and m ---27 [#permalink] New post 11 Nov 2008, 19:21
petercao wrote:
Lines k and m are parallel to each other. Is the slope of line k positive?
(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.


E.

2 = 3mk + ck
2= -3mm + cm

given mk=mm (parallel lines)
even after substituting this we are left with 3 unkowns , 2 equations.
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Re: k and m ---27 [#permalink] New post 21 Aug 2010, 20:32
shouldn't the answer be C? From 1 and 2, we have 2=3m+c and 2=-3m+c. Adding the two we get 6m=0, therefore m=0. This tells us that line k and L are straight horizontal lines. Hence, the answer should be C. Where am I going wrong? The OA E.
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Re: k and m ---27 [#permalink] New post 21 Aug 2010, 23:41
you are using the same equation for both the lines.. of course if a line goes through 3,2 and -3,2 it will be parallel to the x axis but that is not the question here
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Re: k and m ---27 [#permalink] New post 22 Aug 2010, 09:25
@ anandnat: the constants "c" may not be same. You have assumed the constants to be same for both the lines.

Answer should be E.
Re: k and m ---27   [#permalink] 22 Aug 2010, 09:25
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Lines k and m are parallel to each other. Is the slope of

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