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Slope PS

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aj5105: Legendary Member; Posts: 1169; Joined: Sun Jul 06, 2008 2:34 amFollowed by: 1 member; Thanked: 25 times

by aj5105 » Tue May 26, 2009 11:08 am

If line L passes through point (m,n) and (-m,-n), where m and n are not 0, which of the following must be true?

I. The slope of L is positive.

II. The slope of L is negative.

III. L exactly passes through 2 quadrants.

Source: Beat The GMAT — Problem Solving | Tue May 26, 2009 11:08 am

dumb.doofus: Master | Next Rank: 500 Posts; Posts: 435; Joined: Sat Sep 27, 2008 2:02 pmFollowed by: 1 member; Location: San Jose, CA; Thanked: 43 times; GMAT Score:720

by dumb.doofus » Tue May 26, 2009 11:17 am

Edited: Should be III only..

Last edited by dumb.doofus on Wed May 27, 2009 7:19 am, edited 1 time in total.

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tdadic84: Master | Next Rank: 500 Posts; Posts: 111; Joined: Sat Sep 27, 2008 12:41 pm; Thanked: 1 times

by tdadic84 » Tue May 26, 2009 12:07 pm

i think I only...just drew a quick non-precise graph....

ssmiles08: Master | Next Rank: 500 Posts; Posts: 472; Joined: Sun Mar 29, 2009 6:54 pm; Thanked: 56 times

by ssmiles08 » Tue May 26, 2009 12:18 pm

LOL I think its III only

(m, n) can be (5,2) which makes (-m,-n) to be (-5,-2) which would be a positive slope

(m,n) could also be (5,-2) which makes (-m,-n) to be (-5,2) which would be a negative slope.

The only thing I see sticking around is III

Please correct me if I am wrong

ssmiles08: Master | Next Rank: 500 Posts; Posts: 472; Joined: Sun Mar 29, 2009 6:54 pm; Thanked: 56 times

by ssmiles08 » Tue May 26, 2009 12:26 pm

edited

Last edited by ssmiles08 on Tue May 26, 2009 12:27 pm, edited 1 time in total.

raleigh: Master | Next Rank: 500 Posts; Posts: 103; Joined: Mon May 18, 2009 9:47 am; Thanked: 19 times

by raleigh » Tue May 26, 2009 12:26 pm

Slope is n/m so the line is y =(n/m)x + b. plug in (m,n) and we get that b = 0.

So y = (n/m)x. Since neither n and m are non zero, it must pass through exactly two quadrants.

The answer is III.

PAB2706: Master | Next Rank: 500 Posts; Posts: 260; Joined: Sun Oct 12, 2008 8:10 pm; Thanked: 4 times

by PAB2706 » Wed May 27, 2009 1:31 am

I think III only.....

wht is the answer btw

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