Is the slope of line N bigger than that of line P? A. Both

Question

1. Is the slope of line N bigger than that of line P? 

A. Both the 2 line pass through the point (3,2)
B. The intercept on y-axis of line N is bigger than that of P.

ywilfred · Answer

St1:
Insufficient. Line N could be a rising slope while Line P could be a falling slope and vice versa. Even if both lines are rising/falling together, they could have different slopes.

St2:
Insufficient.Both N and P could be parallel. 

Using both st1 and st2:
If Line N is a rising slope and crosses y-axis at (0,1), slope = 2/3 = 3 and Line P is a rising slope with crossing y-axis at (0,-1), slope = 3/3 = 1, then gradient of P > gradient of N.

If Line N is a falling slope and crosses y-axis at (0,6), slope = -4/3 and Line P could be falling slope and crosses y-axis at (0,5) and slope = -3/3 = -1, then gradient of N > gradient of P.

Insufficient.

Ans E

bkk145 · Answer

I got C.
Pretty much same method as above, but I compute a few values for slope of N and P with different y-intercept and I always find that slope(P) > slope(N)

zzyyxx · Answer

1st condition is not sufficient as there can be several lines passing through (3,2).

2nd condition alone is insufficient since lines can be parallel.

Combining the two conditions:

Any line passing through (3,2) is (y-2)/(x-3) = m
This is y = mx + (2-3m) ..... 1st condition
The two slopes are Sn and Sm.
y-intercepts are (2-3Sn) and (2-3Sm)
(2-3Sn) > (2-3Sm)
=> Sn < Sm. So the slope of N is < Slope of P

GMATBLACKBELT · Answer

y=mx+b m=y2-y1/x2-x1. 

S1: Many possibilities. If you can think of a situation where N has a slope bigger than P, just make the slopes opposite and this stmnt is insuff.

S2: N Y-intercept is greater than P. No info about points or anything. Insuff.

Together. Plug in some values (3,2) y intercept so (0,y)--> 

N: (3,2) (0,4) M=-2/3
P: (3,2) (0,3) M=-1/3

P is bigger

N: (3,2) (0,-3) Intercept is still "greater" M=5/3
P: (3,2) (0,-4) M=2


Ans C

Ravshonbek · Answer

It should c.

as one is rising slope the second is not. we still canfind the degree.

thus C.

Raffie · Answer

This must be E.

If the slope of N is positive, it will be less than that of P.

But if the slope of N is negative, it will be less negative (i.e. bigger) than that of P. So we can't be sure which is bigger.

Whatever · Answer

My answer is C.

I'm confused - if we are comparing slopes - we compare numbers (i.e. -4/3, -1) or gradients (4/3, 1)?

skkingdom · Answer

i think the question is not optimal since it is not clear what "bigger" means, if it is the normal or the absolute value of the slope... should be C but E with abs. value

where did u get the question from?

defenestrate · Answer

It is possible to have a negative slope that has a larger value for the x intercept. That is all I need to know to answer the question.

bkk145 · Answer

Show me. I totally disagree with the OA on this one.
I believe it's C...someone show me why this is E.
Why do we consider gradient???

Fistail · Answer

Guys, I think OA given is wrong. I am also convinced with C. I thought about infinitive slope case but in any case, slope of N cannot be grater than the slope of P. 

the question is : is the slope of grater than the slope of P? the answer is no. In extream case, the slopes are equal but the slope of n is never grater than the slope of P.


Thanks.

Is the slope of line N bigger than that of line P? A. Both

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