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In the xyplane, is the slope of line L greater than the [#permalink]
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01 Feb 2012, 18:13
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In the xyplane, is the slope of line L greater than the slope of line K? (1) L passes through (5, 0) and K passes through (5, 0). (2) L and K intersect with each other in the 2nd quadrant.
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Re: Coordinate [#permalink]
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02 Feb 2012, 00:21
I believe drawing this out will make the scenario's clearer. However, 3 scenarios here  slope of L >  =  < m considered. a. meaning L can be = M or >  < M too. not sufficient. b. no clue about the lines and slopes here. insufficient. a+b means, Line L has negative slope hence it enters 2nd quad Line M has positive slope hence it enters 2nd quad from 3rd quad(possibly). thus true. Sufficient. C it is.
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Re: Coordinate [#permalink]
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02 Feb 2012, 03:48
In the xyplane, is the slope of line L greater than the slope of line K? (1) L passes through (5, 0) and K passes through (5, 0). (2) L and K intersect with each other in the 2nd quadrant. From statement 1 alone we dont have any information regarding the slopes of the two lines . statement 2 alone we cannot predict anything about the slope. Now combine both the statements. L passes from 1 st quadrant to the 2 nd quadrant.Implies slope is negative. K is already in the second quadrant( 5,0) .For it to interect with the line L it has to have a positive slope or even if its negative ,its magnitude is higher than that of line L. Hence 2 statements together are requried . Sorry you need to imagine the figure ,I would have helped better with a diagram !!
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Re: Coordinate [#permalink]
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02 Feb 2012, 03:55
I got C as well but its super easy after drawing a figure
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Re: In the xyplane, is the slope of line L greater than the [#permalink]
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02 Feb 2012, 11:53
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Smita04 wrote: In the xyplane, is the slope of line L greater than the slope of line K? (1) L passes through (5, 0) and K passes through (5, 0). (2) L and K intersect with each other in the 2nd quadrant. Answer is E, not C as everyone stated above. Note that: a steeper incline indicates a higher absolute value of the slope.Obviously each statement alone is not sufficient. When taken together, we can have 2 cases: Attachment:
The slope of K is greater than that of L.png [ 8.41 KiB  Viewed 7527 times ]
You can see that the slope of K (blue) is greater than that of L (red): 2>1; Attachment:
The slope of K is less than that of L.png [ 8.09 KiB  Viewed 7516 times ]
In this case the slope of K (blue) is less than that of L (red): 8<1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L. Answer: E. Check Coordinate Geometry chapter of Math Book for more on this topic: mathcoordinategeometry87652.htmlSimilar questions to practice: iftheslopesofthelinel1andl2areofthesamesignis126759.htmlslopesofmandn124025.htmllinenandplieinthexyplaneistheslopeoftheline30553.htmllinesnandplieinthexyplaneistheslopeoflinen97007.htmlHope it helps.
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Re: In the xyplane, is the slope of line L greater than the [#permalink]
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28 Apr 2012, 11:27
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Wow Excellent question and nice trap
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Re: In the xyplane, is the slope of line L greater than the [#permalink]
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21 Oct 2012, 08:24
Bunuel wrote: Smita04 wrote: In the xyplane, is the slope of line L greater than the slope of line K? (1) L passes through (5, 0) and K passes through (5, 0). (2) L and K intersect with each other in the 2nd quadrant. Answer is E, not C as everyone stated above. Note that: a steeper incline indicates a higher absolute value of the slope.Obviously each statement alone is not sufficient. When taken together, we can have 2 cases: Attachment: The slope of K is greater than that of L.png You can see that the slope of K (blue) is greater than that of L (red): 2>1; Attachment: The slope of K is less than that of L.png In this case the slope of K (blue) is less than that of L (red): 8<1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L. Answer: E. Check Coordinate Geometry chapter of Math Book for more on this topic: mathcoordinategeometry87652.htmlSimilar questions to practice: iftheslopesofthelinel1andl2areofthesamesignis126759.htmlslopesofmandn124025.htmllinenandplieinthexyplaneistheslopeoftheline30553.htmllinesnandplieinthexyplaneistheslopeoflinen97007.htmlHope it helps. Bunnel I think when we follow graphs we might miss some of the cases, i think it is better to solve by algebra? am i correct?
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Re: In the xyplane, is the slope of line L greater than the [#permalink]
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23 Oct 2012, 07:18
mydreammba wrote: Bunuel wrote: Smita04 wrote: In the xyplane, is the slope of line L greater than the slope of line K? (1) L passes through (5, 0) and K passes through (5, 0). (2) L and K intersect with each other in the 2nd quadrant. Answer is E, not C as everyone stated above. Note that: a steeper incline indicates a higher absolute value of the slope.Obviously each statement alone is not sufficient. When taken together, we can have 2 cases: Attachment: The slope of K is greater than that of L.png You can see that the slope of K (blue) is greater than that of L (red): 2>1; Attachment: The slope of K is less than that of L.png In this case the slope of K (blue) is less than that of L (red): 8<1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L. Answer: E. Check Coordinate Geometry chapter of Math Book for more on this topic: mathcoordinategeometry87652.htmlSimilar questions to practice: iftheslopesofthelinel1andl2areofthesamesignis126759.htmlslopesofmandn124025.htmllinenandplieinthexyplaneistheslopeoftheline30553.htmllinesnandplieinthexyplaneistheslopeoflinen97007.htmlHope it helps. Bunnel I think when we follow graphs we might miss some of the cases, i think it is better to solve by algebra? am i correct? You should choose approach which suits you best. For me personally, it wasn't too hard to find two examples satisfying both statements and giving different answers to the question
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Re: In the xyplane, is the slope of line L greater than the [#permalink]
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08 May 2013, 22:23
Hi bunuel... I must say excellent solution but one thing that i did not understand is how did u form equation for the two different lines when we do not have any point of intersection ....... Can u pls elaborate on that point.
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Re: In the xyplane, is the slope of line L greater than the [#permalink]
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