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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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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).

OPEN DISCUSSION OF THIS QUESTION IS HERE: lines-k-and-m-are-parallel-to-each-other-is-the-slope-of-100447.html
[Reveal] Spoiler: OA
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Re: Lines k and m are parallel to each other. Is the slope of [#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: Lines k and m are parallel to each other. Is the slope of [#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: Lines k and m are parallel to each other. Is the slope of [#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: Lines k and m are parallel to each other. Is the slope of [#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.
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Re: Lines k and m are parallel to each other. Is the slope of [#permalink] New post 16 Aug 2014, 04:06
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Re: Lines k and m are parallel to each other. Is the slope of [#permalink] New post 16 Aug 2014, 06:29
Expert's post
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).


It's straight E.

The best way to solve this problem is to visualize it. We have line k, which passes through the point (3, 2) and its parallel line m, which passes through the point (-3,2). If you draw one such pair and fix, then you can rotate them 360 degrees to get infinite number of lines with negative as well positive slopes.

Answer: E.

OPEN DISCUSSION OF THIS QUESTION IS HERE: lines-k-and-m-are-parallel-to-each-other-is-the-slope-of-100447.html
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Re: Lines k and m are parallel to each other. Is the slope of   [#permalink] 16 Aug 2014, 06:29
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