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

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Senior Manager
Joined: 07 Feb 2008
Posts: 288
In the xy-plane, the line with equation ax + by + c = 0,  [#permalink]

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02 Jul 2009, 06:25
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:28) correct 0% (00:00) wrong based on 55 sessions

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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

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GMAT Tutor
Joined: 24 Jun 2008
Posts: 1323

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02 Jul 2009, 09:08
Vavali 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

Rewrite the equation in standard form (y = mx +b); then m will be the slope:

by = -ax - c
y = (-a/b)x - c/b

So the slope of our line is -a/b, and the y-intercept is -c/b. Now we know that the slope is also equal to 2/3, so:

-a/b = 2/3
b = -3a/2

So with a we can find b, and with c we cannot. The answer is A.
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Senior Manager
Joined: 25 Mar 2009
Posts: 288

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02 Jul 2009, 10:28
First I solve for the standard equation format: y = mx + b

-(a/b)x – c/b = y

1) Plug in the known values
-(4/b)x – c/b = y
If slope = 2/3, then -4/b = 2/3
So b = -6
SUFFICIENT

2) Plug in the known values
-(a/b)x – (-6)/b = y
We still can’t figure out b, so INSUFFICIENT

Manager
Joined: 28 Jan 2004
Posts: 197
Location: India

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03 Jul 2009, 21:13
A

Same expalanion as IanStewart .
Non-Human User
Joined: 09 Sep 2013
Posts: 9414
Re: In the xy-plane, the line with equation ax + by + c = 0,  [#permalink]

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22 Dec 2017, 05:35
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Re: In the xy-plane, the line with equation ax + by + c = 0, &nbs [#permalink] 22 Dec 2017, 05:35
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