In the xy-place, line K passes through the point (1,a),

[Jazmet]

Source GMAT PRep

In the xy-place, line K passes through the point (1,a), L passes through the point (1,b), and both the lines pass through the origin. Is K's slope > L's Slope?

Stat 1 - ab> 0
Stat 2 - |a| > |b|

Please see my approach and correct me if I am wrong.

(1, a) (0, 0) - Slope - a/1
(1, b) (0, 0) - Slope - b/1

Is a > b?

Stat 1 - Insufficient - As a=-5 , b=-3 or vice versa
Stat 2- Insufficient - As a =-5 and b =3 would get NO and a= 5 and b =3 would get yes.

Both together - Insufficient
Hence, E

[RonPurewal]

it seems you understand this problem just fine.

the only thing you haven't done is show a proof that both statements together are still insufficient; you just said that they are, without showing your reasoning.
so, as long as you can find the numbers that prove this -- say, (5, 3) and (-5, -3) -- you are all good here. yes, it should be (e).

[Jazmet]

Thank you Ron!

[tim]

:)

[chitrasrid]

I have a silly question, how do we know of the co-ordinate (0,0)?

(1,a) (0,0)

(1,b) (0,0)

When I plot the points (1,a) & (1,b) I see that the line doesn't pass through (0,0)

What am I missing?

Thanks,
Chitra

[jnelson0612]

I have a silly question, how do we know of the co-ordinate (0,0)?

(1,a) (0,0)

(1,b) (0,0)

When I plot the points (1,a) & (1,b) I see that the line doesn't pass through (0,0)

What am I missing?

Thanks,
Chitra

No problem! It says "both lines pass through the origin". The origin is the intersection point of the x-axis and the y-axis, and its coordinates are 0,0. :-)

[chitrasrid]

Thanks Jamie!

I missed that in the question :)

[tim]

:)