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I don't understand why it's not D?
Statement (2) suff, I get it.

But why (1) insuff?
If we know the x intercept (0,y) dont this means we can find the slope? (and which is greater too..)
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Line P and Q intersect at a point (2,-5), is the slope of line P is greater than that of line Q?

(1) X intercept of P is less than Q

(2) Y intercept of P is more than Q.

I don't understand why it's not D?
Statement (2) suff, I get it.

But why (1) insuff?
If we know the x intercept (0,y) dont this means we can find the slope? (and which is greater too..)

For (1) consider the following example:

If P is y = 2x - 9 and Q is y = x - 7, then the slope of P (2) is more than that of Q (1).


If P is y = -2x - 1 and Q is y = x - 7, then the slope of P (-2) is less than that of Q (1).


Attachment:
desmos-graph (1).png
desmos-graph (1).png [ 27.19 KiB | Viewed 3005 times ]
Attachment:
desmos-graph.png
desmos-graph.png [ 26.66 KiB | Viewed 2970 times ]
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dear experts please suggest my approach is correct or not
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Bunuel
rudi0setyawan
Line P and Q intersect at a point (2,-5), is the slope of line P is greater than that of line Q?

(1) X intercept of P is less than Q

(2) Y intercept of P is more than Q.

I don't understand why it's not D?
Statement (2) suff, I get it.

But why (1) insuff?
If we know the x intercept (0,y) dont this means we can find the slope? (and which is greater too..)

For (1) consider the following example:

If P is y = 2x - 9 and Q is y = x - 7, then the slope of P (2) is more than that of Q (1).


If P is y = -2x - 1 and Q is y = x - 7, then the slope of P (-2) is less than that of Q (1).


Attachment:
desmos-graph (1).png
Attachment:
desmos-graph.png

Can you show a similar example for option B too.
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TBT
Line P and Q intersect at a point (2,-5), is the slope of line P is greater than that of line Q?

(1) X intercept of P is less than Q

(2) Y intercept of P is more than Q.

Can you show a similar example for option B too.



Check the image above. Line Q's y-intercept will be somewhere in the red region of y axis. Q will pass through that point and (2,-5), so the slope of Q would in any case be positive (it goes from bottom left to up right) and it will be steeper than line P, thus the slope of Q will be more than that of P.

Hope it's clear.

Attachment:
2.png
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Bunuel
TBT
Line P and Q intersect at a point (2,-5), is the slope of line P is greater than that of line Q?

(1) X intercept of P is less than Q

(2) Y intercept of P is more than Q.

Can you show a similar example for option B too.



Check the image above. Line Q's y-intercept will be somewhere in the red region of y axis. Q will pass through that point and (2,-5), so the slope of Q would in any case be positive (it goes from bottom left to up right) and it will be steeper than line P, thus the slope of Q will be more than that of P.

Hope it's clear.

Attachment:
2.png

Hey Bunuel, for statement B, there can still be a cases when y intercept of line P is greater than Q and slope of P can be greater than Q and opposite can be true too i.e slope of P less than Q, so how can we be sure of B?
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Bunuel
TBT
Line P and Q intersect at a point (2,-5), is the slope of line P is greater than that of line Q?

(1) X intercept of P is less than Q

(2) Y intercept of P is more than Q.

Can you show a similar example for option B too.



Check the image above. Line Q's y-intercept will be somewhere in the red region of y axis. Q will pass through that point and (2,-5), so the slope of Q would in any case be positive (it goes from bottom left to up right) and it will be steeper than line P, thus the slope of Q will be more than that of P.

Hope it's clear.

Attachment:
2.png

Hey Bunuel, for statement B, there can still be a cases when y intercept of line P is greater than Q and slope of P can be greater than Q and opposite can be true too i.e slope of P less than Q, so how can we be sure of B?

Please show a drawing proving your point. Thank you!
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Posting a separate comment as quoting can be done max 3 times.
Hey Bunuel, I made a mistake, I considered only absolute values , eg- Q passes through (0,4) and P passes through (0,8) then absolute of slope(P > Q). but in that case, slopes would be -ve and hence Q's slope will always be greater.
Thanks .
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