In the xy-plane, the line with equation ax + by + c = 0, : Quant Question Archive [LOCKED]
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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, [#permalink]

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07 Oct 2008, 12:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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 sufficient.
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07 Oct 2008, 13:05
albany09 wrote:
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

The equation can be rewritten as, y=(-a/b)x+(-c/b).
The slope (-a/b)=2/3

ST1: Using a=4, we can calculate b Suff
ST2: We can't calculate b using c. Insuff

Hence (A)
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Last edited by leonidas on 07 Oct 2008, 15:00, edited 1 time in total.
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07 Oct 2008, 14:22
leonidas wrote:
albany09 wrote:
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

The equation can be rewritten as, y=(-a/b)x+(-c).
The slope (-a/b)=2/3

ST1: Using a=4, we can calculate b Suff
ST2: We can't calculate b using c. Insuff

Hence (A)

should this be -c/b? not that it matters to solve the problem
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Joined: 29 Mar 2008
Posts: 348
Followers: 4

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07 Oct 2008, 15:01
bigtreezl wrote:
leonidas wrote:
albany09 wrote:
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

The equation can be rewritten as, y=(-a/b)x+(-c).
The slope (-a/b)=2/3

ST1: Using a=4, we can calculate b Suff
ST2: We can't calculate b using c. Insuff

Hence (A)

should this be -c/b? not that it matters to solve the problem

yes it is c/b. I updated my post. Good catch.......
_________________

To find what you seek in the road of life, the best proverb of all is that which says:
"Leave no stone unturned."
-Edward Bulwer Lytton

Re: math---xyplane   [#permalink] 07 Oct 2008, 15:01
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