Slope of line

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Slope of line

by ayankm » Tue May 11, 2010 7:58 pm
Lines n and p lie in xy plane. Is slope of line n less than slope of line p?

I. Lines n and p intersect at (5, 1)
II. Y-intercept of line n is greater than y intercept of line p

Answer is -C-.
I fail to understand why not -B-
Source: — Data Sufficiency |

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by liferocks » Tue May 11, 2010 8:17 pm
slope of any line is y1-y2/x1-x2 where x1,y1 and x2,y2 are two points on the line.

Let y intercept of n is yn and that of p is yp

hence slope of n y2-yn/x2...n passes through 0,yn and x2,y2
slope of p y1-yp/x1...n passes through 0,yp and x1,y1

option 2 says yn>yp..but unless we know the values of x1,y1 and x2,y2 we cannot conclude that y2-yn/x2 >y1-yp/x1 or vice versa

from 1 we get x1,y1 or x2,y2 is 5,1..hence we can check the slope

neither of the statements is sufficient
ans option C

Let me know if this clarifies..else I will try to put a graphical explanation
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by [email protected] » Thu May 13, 2010 2:39 pm
ayankm wrote:Lines n and p lie in xy plane. Is slope of line n less than slope of line p?

I. Lines n and p intersect at (5, 1)
II. Y-intercept of line n is greater than y intercept of line p

Answer is -C-.
I fail to understand why not -B-

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by [email protected] » Thu May 13, 2010 2:42 pm
ayankm wrote:Lines n and p lie in xy plane. Is slope of line n less than slope of line p?

I. Lines n and p intersect at (5, 1)
II. Y-intercept of line n is greater than y intercept of line p

Answer is -C-.
I fail to understand why not -B-
:roll:

just combine the two statements.

the two lines do meet and they touch y-axis at different points. you can definitely answer this question with this information.

ANSWER (C)