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If Line k in the xy-plane has equation y = mx + b, where m

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If Line k in the xy-plane has equation y = mx + b, where m [#permalink] New post 17 Nov 2009, 19:53
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A
B
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D
E

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100% (01:35) correct 0% (00:00) wrong based on 2 sessions
If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k?
(1) k is parallel to the line with equation y = (1-m)x + b +1.
(2) k intersects the line with equation y = 2x + 3 at the point (2, 7).

I think it is A...
from 1st ..since two lines are parallel....
m = 1- m
m =1/2

from 2nd line passes through 2,3
3 = 2 m + b..can't say ..

So answer should be A...throw some lights...

Regards,
Rohit
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Re: Line k in the xy-plane [#permalink] New post 18 Nov 2009, 02:35
Rohit, I agree that the answer to this problem is A. Statement two is not sufficient to determining the slope.
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Re: Line k in the xy-plane [#permalink] New post 18 Nov 2009, 03:09
KocharRohit wrote:
If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k?
(1) k is parallel to the line with equation y = (1-m)x + b +1.
(2) k intersects the line with equation y = 2x + 3 at the point (2, 7).

I think it is A...
from 1st ..since two lines are parallel....
m = 1- m
m =1/2

from 2nd line passes through 2,3
3 = 2 m + b..can't say ..

So answer should be A...throw some lights...

Regards,
Rohit


Perfectly valid reasoning.
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Re: Line k in the xy-plane [#permalink] New post 14 Jan 2010, 11:36
Hi guys

a quick doubt. Isnt the slope of two lines at their intersection points equal?

In that case k=2 at (2,7)
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Re: Line k in the xy-plane [#permalink] New post 15 Jan 2010, 00:38
not convincing. the equation for a line needs to be in the "y=mx+c" form for the multiplier of x to be considered as the slope. whats your take on it?
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Re: Line k in the xy-plane [#permalink] New post 15 Jan 2010, 08:14
I agree, statement 2 gives us the value of 2 variables but we have
y=mx+b, for which we need the value of
The equation of the line y = 2x + 3 gives us no new information apart from the fact that the slope !=2.

A is the right choice.
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Re: Line k in the xy-plane [#permalink] New post 15 Jan 2010, 14:18
I agree too statement B is enough. is the OA different?
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Re: Line k in the xy-plane [#permalink] New post 15 Jan 2010, 19:23
zaarathelab wrote:
Hi guys

a quick doubt. Isnt the slope of two lines at their intersection points equal?

In that case k=2 at (2,7)


Answer is A.

To my knowledge the slope of two intersecting (straight) lines is never equal. Now for every higher power function it can be the case.
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Re: Line k in the xy-plane   [#permalink] 15 Jan 2010, 19:23
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