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

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Manager
Joined: 14 Jan 2006
Posts: 88
Schools: HKUST
If Line k in the xy-plane has equation y = mx + b, where m  [#permalink]

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01 Oct 2008, 01:51
1
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).

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Manager
Joined: 30 Sep 2008
Posts: 111
Re: GMAT SET 16 - 5  [#permalink]

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01 Oct 2008, 08:17
(1) insufficient

k is parallel to the line with equation y = (1-m)x + b + 1
=> m = 1 - m <=> m = 1/2, b is unknown

(2) sufficient (only 1 line intersects with another line at the particular point)

Manager
Joined: 27 Aug 2008
Posts: 135
Re: GMAT SET 16 - 5  [#permalink]

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01 Oct 2008, 08:27
1
nikhilpoddar 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).

We have to find slope of K i.e. m.

1) Sufficient: parallel lines have equal slopes. =>m= 1-m => m=1/2

2) Insufficient: 7=2m + b, B is unknown, hence cant calculate m.

Ans: A
Manager
Joined: 27 Sep 2008
Posts: 76
Re: GMAT SET 16 - 5  [#permalink]

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01 Oct 2008, 10:50
I second (A) same logic as jatinrai
VP
Joined: 17 Jun 2008
Posts: 1474
Re: GMAT SET 16 - 5  [#permalink]

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01 Oct 2008, 12:33
lylya4 wrote:
(1) insufficient

k is parallel to the line with equation y = (1-m)x + b + 1
=> m = 1 - m <=> m = 1/2, b is unknown

(2) sufficient (only 1 line intersects with another line at the particular point)

lyla4, the question is asking about the slope of line. From stmt1, you get m and that is the slope.
VP
Joined: 05 Jul 2008
Posts: 1329
Re: GMAT SET 16 - 5  [#permalink]

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01 Oct 2008, 12:59
lylya4 wrote:
(1) insufficient

k is parallel to the line with equation y = (1-m)x + b + 1
=> m = 1 - m <=> m = 1/2, b is unknown

(2) sufficient (only 1 line intersects with another line at the particular point)

Didn't you just answer that m=1/2 as per (1)

I am not sure what you meant by (only 1 line intersects with another line at the particular point)

VP
Joined: 17 Jun 2008
Posts: 1279
Re: GMAT SET 16 - 5  [#permalink]

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01 Oct 2008, 23:00
nikhilpoddar 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).

IMO A
clearly 1) helps to give m=1/2 slope of k

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Re: GMAT SET 16 - 5 &nbs [#permalink] 01 Oct 2008, 23:00
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# If Line k in the xy-plane has equation y = mx + b, where m

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