Lines k and m are parallel to each other. Is the slope of : DS Archive
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# Lines k and m are parallel to each other. Is the slope of

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Lines k and m are parallel to each other. Is the slope of [#permalink]

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23 Jul 2008, 09:00
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Lines k and m are parallel to each other. Is the slope of line k positive?
(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).
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Re: DS- slope of line k positive? [#permalink]

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23 Jul 2008, 09:13
gmatcraze wrote:
Lines k and m are parallel to each other. Is the slope of line k positive?
(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).

E)

One point of line never tells eqn or slope and point on parallel line cannot be combined as well
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Re: DS- slope of line k positive? [#permalink]

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23 Jul 2008, 09:31
gmatcraze wrote:
Lines k and m are parallel to each other. Is the slope of line k positive?
(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).

(1) alone is NOT SUFFICIENT, you only got one point, you cannot find out the slope.

(2) alone is NOT SUFFICIENT, ame reason as above.

(1) & (2) together is NOT SUFFICIENT. Because you know two line pass through two point and they are parallet. But they can still have any slope.

So (E)
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Re: DS- slope of line k positive? [#permalink]

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23 Jul 2008, 11:02
gmatcraze wrote:
Lines k and m are parallel to each other. Is the slope of line k positive?
(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).

consider equation of line k :
y=sx+c
for m:
y=sx+d

consider (1)
2=3s+c=>s=(2-c) /3 => s can be +ve or -ve insufficient
consider (2)
2=-3s+d=>s=(d-2) /3 => s can be +ve or -ve insufficient

consider both (1) and (2)
c+d =4 -> I
c-d +6s=0
s= (d-c)/6 => (d-4+d )/6 => value of s depends on d or c hence
can be -ve or positive
insufficient
Ans is (E)
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Re: DS- slope of line k positive?   [#permalink] 23 Jul 2008, 11:02
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