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# In the xy-plane, the line with equation ax + by + c = 0,

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Senior Manager
Joined: 02 Dec 2007
Posts: 427
In the xy-plane, the line with equation ax + by + c = 0, [#permalink]

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Updated on: 19 Sep 2008, 10:49
In the xy-plane, the line with equation ax + by + c = 0, where abc ≠ 0, has slope 2/3 . What is the value of b?
(1) a = 4
(2) c = −6

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

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Originally posted by Nihit on 19 Sep 2008, 10:42.
Last edited by Nihit on 19 Sep 2008, 10:49, edited 1 time in total.
Director
Joined: 12 Jul 2008
Posts: 512
Schools: Wharton

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19 Sep 2008, 10:45
1
Nihit wrote:
In the xy-plane, the line with equation ax + by + c = 0, where abc ≠ 0, has slope . What is the value of b?
(1) a = 4
(2) c = −6

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

Please check the problem after you cut and paste. You're missing information.
VP
Joined: 28 Dec 2005
Posts: 1485

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19 Sep 2008, 14:02
So this is weird ... i rearranged the equation to get y= (-a/b)x - (c/b)

From this, cant I conclude that the slope is -a/b, and that it is equal to the slope provided in the question ?
Intern
Joined: 15 Aug 2008
Posts: 17

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19 Sep 2008, 15:50
A.
(1) Slope = -a/b = 2/3. Given a we can definitely calculate b.
(2) Not Sufficient. Knowing c does not tell us anything about a or b.

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: X-Y plane   [#permalink] 19 Sep 2008, 15:50
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# In the xy-plane, the line with equation ax + by + c = 0,

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