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

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

19 Sep 2008, 10:42

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

Last edited by Nihit on 19 Sep 2008, 10:49, edited 1 time in total.

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Re: X-Y plane [#permalink]

19 Sep 2008, 10:45

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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.

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Re: X-Y plane [#permalink]

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 ?

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Re: X-Y plane [#permalink]

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.

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

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