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# In the xy-plane, what is the y-intercept of line l? (1) The

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Intern
Joined: 25 Dec 2008
Posts: 41
In the xy-plane, what is the y-intercept of line l? (1) The [#permalink]

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01 Jan 2009, 12:06
In the xy-plane, what is the y-intercept of line l?
(1) The slope of the line l is 3 times its y-intercept
(2) The x-intercept of line l is -(1/3)

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SVP
Joined: 29 Aug 2007
Posts: 2427

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01 Jan 2009, 19:49
1
shobuj40 wrote:
In the xy-plane, what is the y-intercept of line l?

(1) The slope of the line l is 3 times its y-intercept
(2) The x-intercept of line l is -(1/3)

If y = mx +c, y = ?

1: m = 3y
y = 3xy +c
if x = 0, y = c but what is c? do not know.

2: x = -1/3
y = -m/3 + c
still do not know.

togather 1 & 2:

y = -m/3 + c
y = -3y/3 + c
c = 2y

do not know c? So E.
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Director
Joined: 01 Apr 2008
Posts: 829
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014

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03 Jan 2009, 09:48
Hi GMATTiger,
Here we have to find c ( y-intercept ) not y !!
y = mx + C, we have to find C.

But anyways , the answer will remain the same E.
SVP
Joined: 29 Aug 2007
Posts: 2427

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03 Jan 2009, 12:49
Economist wrote:
Hi GMATTiger,
Here we have to find c ( y-intercept ) not y !!
y = mx + C, we have to find C.

But anyways , the answer will remain the same E.

y is c when x is 0. therefore, we do not know neither c nor y.
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Intern
Joined: 19 Jun 2008
Posts: 20

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03 Jan 2009, 15:54
I am trying to visualize this and essentially what we have is a line with one set of coordinates, and a certain y intercept that is a linear function of the slope. Shouldn't there be only one line that satisfies those conditions? I suppose the slope of the line could be negative... is that where I'm going wrong?
Manager
Joined: 04 Jan 2009
Posts: 229

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06 Jan 2009, 20:51
snowy2009 wrote:
I am trying to visualize this and essentially what we have is a line with one set of coordinates, and a certain y intercept that is a linear function of the slope. Shouldn't there be only one line that satisfies those conditions? I suppose the slope of the line could be negative... is that where I'm going wrong?

There are multiple such lines:
y=(3x+1)*c

c=y intercept.

Essentially what we have defined in the two statements are identical conditions; hence, the line is not uniquely defined.

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Re: gmat prep   [#permalink] 06 Jan 2009, 20:51
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# In the xy-plane, what is the y-intercept of line l? (1) The

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