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If Line k in the xy-plane has equation y = mx + b, where m [#permalink]
 17 Nov 2009, 20:53
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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]
18 Nov 2009, 03:35
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]
18 Nov 2009, 04:09
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]
14 Jan 2010, 12:36
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]
15 Jan 2010, 01:38
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]
15 Jan 2010, 09:14
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]
15 Jan 2010, 15:18
I agree too statement B is enough. is the OA different?
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Re: Line k in the xy-plane [#permalink]
15 Jan 2010, 20:23
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, 20:23
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