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A line passes through (1,p), is its slope greater than 0? 1) The line passes through (p,13) 2) The line passes through (p,-1)

1) slope = 0 when p=13, but we dont know p, insufficient 2) slope =0 when p=-1, insufficient

1+2) the only way for a line to go through these 3 point is if p =1, so slope equals infinity = > sufficient

C.

I chose C too, but isn't something/0 undefined? A couple of questions here:
(i) is n/0 undefined or infinity(meaning a large number) for the purposes of GMAT (I know as limit x-->0 y tends to infinity and stuff )
(ii) what is the slope of a line parallel to y-axis? undefined or infinity

cuz though i know that individually the data isn't sufficient...ideally, the two together should be...
however if you calculate the two slopes using the two sets of equations and equate them, after simplifying I get:
-1-p=13-p

anyway i suppose if i had to i would pick C...but it did throw me off

cuz though i know that individually the data isn't sufficient...ideally, the two together should be... however if you calculate the two slopes using the two sets of equations and equate them, after simplifying I get: -1-p=13-p

anyway i suppose if i had to i would pick C...but it did throw me off

I got into the same problem too - and then chose C (as either way I was sure that answer will be found by combining both the equations)

could you pls make it clear? coz, it is little confusion. do you mean that the slope = infinite is defined is sufficient answer the question. if so, it is clear. if you mean something/0 = infinite is defined, then its not clear. thanx.

could you pls make it clear? coz, it is little confusion. do you mean that the slope = infinite is defined is sufficient answer the question. if so, it is clear. if you mean something/0 = infinite is defined, then its not clear. thanx.

Defined in the sense we know what it is - infinity, and therefore we can say that it's diffirent from zero.

I don't want to get into the metaphysics of infinity, because frankly I have no clue. hehe

like, k/0 is not defined because we have no idea what it equals, but

[quote="Vithal"]A line passes through (1,p), is its slope greater than 0?
1) The line passes through (p,13)
slope = (13-p)/(p-1)
When 1<p<13 slope>0 otherwise not
Insufficient

2) The line passes through (p,-1)
slope = (p+1)/(1-p)
When -1<p<1 slope >0 otherwise not
Insufficient