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In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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23 Jul 2015, 06:19
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In the xyplane, both line K and L intersect with axisX. Is K’s intercept with axisX greater than that of line L? 1). K’s intercept with axisY is greater than that of L. 2). K and L have the same slope. Good Questions also Require Kudos
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Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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23 Jul 2015, 06:36
GMATinsight wrote: In the xyplane, both line K and L intersect with axisX. Is K’s intercept with axisX greater than that of line L? 1). K’s intercept with axisY is greater than that of L. 2). K and L have the same slope. Good Questions also Require Kudos Interesting question. Let the equations of the lines be k=mx+b l = ny+c Per the question, b/m > c/n > b/m < c/n > b/m  c/n < 0? Statement 1, b>c but no information about m or n. Thus not sufficient to answer b/m  c/n < 0? Statement 2, m =n . Not sufficient (remember that m,n can be <0 or > 0, we still dont know which!!) Combining, b>c and m =n Consider these cases, let m =n=1 Then : b/1c/1 > 0 as b>c but if m=n=1 then b/1  (c/1) = b+c < 0 (with b = 3, c = 2) . Thus we get 2 different answers from the combination of statements and thus E is the correct answer.



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In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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27 Jul 2015, 00:44
So, could we say that in order to answer this question we would need to know x,y and m (so the points and the slope), for both equations? Or at least the relationship between them, eg that they are parallel or vertical, or be able to draw such a conclusion?



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Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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27 Jul 2015, 00:58
pacifist85 wrote: So, could we say that in order to answer this question we would need to know x,y and m (so the points and the slope), for both equations? Or at least the relationship between them, eg that they are parallel or vertical, or be able to draw such a conclusion? I am not too clear about your question but the way I understand it I would answer it "Not necessarily." The lines with Opposite slopes can answer the question based on comparison of their YIntercept
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In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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27 Jul 2015, 01:08
GMATinsight wrote: pacifist85 wrote: So, could we say that in order to answer this question we would need to know x,y and m (so the points and the slope), for both equations? Or at least the relationship between them, eg that they are parallel or vertical, or be able to draw such a conclusion? I am not too clear about your question but the way I understand it I would answer it "Not necessarily." The lines with Opposite slopes can answer the question based on comparison of their YIntercept I think this is what I mean.. So, the lines with opposite slopes would be perpendicular. So, we would have a relationship between them, which would give us the slope. BTW, I read this on purple math ( http://www.purplemath.com/modules/slope2.htm) a while ago. Makes sense? "The slope of the perpendicular line is the "negative reciprocal" of the slope of the original line — and two lines with slopes that are negative reciprocals of each other are perpendicular to each other. In numbers, if the one line's slope is m = 4/5, then the perpendicular line's slope will be m = –5/4. If the one line's slope is m = –2, then the perpendicular line's slope will be m = 1/2".



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In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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27 Jul 2015, 03:32
pacifist85 wrote: GMATinsight wrote: pacifist85 wrote: So, could we say that in order to answer this question we would need to know x,y and m (so the points and the slope), for both equations? Or at least the relationship between them, eg that they are parallel or vertical, or be able to draw such a conclusion? I am not too clear about your question but the way I understand it I would answer it "Not necessarily." The lines with Opposite slopes can answer the question based on comparison of their YIntercept I think this is what I mean.. So, the lines with opposite slopes would be perpendicular. So, we would have a relationship between them, which would give us the slope. BTW, I read this on purple math ( http://www.purplemath.com/modules/slope2.htm) a while ago. Makes sense? "The slope of the perpendicular line is the "negative reciprocal" of the slope of the original line — and two lines with slopes that are negative reciprocals of each other are perpendicular to each other. In numbers, if the one line's slope is m = 4/5, then the perpendicular line's slope will be m = –5/4. If the one line's slope is m = –2, then the perpendicular line's slope will be m = 1/2". Ofcourse it makes sense. That the basic property of Slopes of two perpendicular lines Property1: Slopes of the parallel line will always be equal i.e. \(m_1 = m_2\) Property2: Product of Slopes of two Perpendicular lines will always be equal to 1 i.e. \(m_1*m_2 = 1\)
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Last edited by GMATinsight on 27 Jul 2015, 04:17, edited 1 time in total.



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In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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27 Jul 2015, 03:54
GMATinsight wrote: Ofcourse it makes sense. That the basic property of Slopes of two perpendicular lines
Property1: Slopes of the parallel line will always be equal i.e. \(m_1 = m_2\)
Property2: Product of Slopes of two Perpendicular lines will always be equal i.e. \(m_1*m_2 = 1\) GMATinsight, I think you meant "negative reciprocal of each other". Product of slopes of 2 mutually perpendicular lines can not be "equal".



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Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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27 Jul 2015, 04:19
Engr2012 wrote: GMATinsight wrote: Ofcourse it makes sense. That the basic property of Slopes of two perpendicular lines
Property1: Slopes of the parallel line will always be equal i.e. \(m_1 = m_2\)
Property2: Product of Slopes of two Perpendicular lines will always be equal i.e. \(m_1*m_2 = 1\) GMATinsight, I think you meant "negative reciprocal of each other". Product of slopes of 2 mutually perpendicular lines can not be "equal". I was representing the relation in a way \(m_1*m_2 = 1\) so missed the last letters in red "Product of the slopes of two perpendicular lines will be equal to 1"
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Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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07 Mar 2017, 04:52
This question is asking for X intercept. I understand that its asking for absolute value. Please suggest



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Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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07 Mar 2017, 05:01



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Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter [#permalink]
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07 Mar 2017, 10:42
Engr2012 wrote: GMATinsight wrote: In the xyplane, both line K and L intersect with axisX. Is K’s intercept with axisX greater than that of line L? 1). K’s intercept with axisY is greater than that of L. 2). K and L have the same slope. Good Questions also Require Kudos Interesting question. Let the equations of the lines be k=mx+b l = ny+c Per the question, b/m > c/n > b/m < c/n > b/m  c/n < 0? Statement 1, b>c but no information about m or n. Thus not sufficient to answer b/m  c/n < 0? Statement 2, m =n . Not sufficient (remember that m,n can be <0 or > 0, we still dont know which!!) Combining, b>c and m =n Consider these cases, let m =n=1 Then : b/1c/1 > 0 as b>c but if m=n=1 then b/1  (c/1) = b+c < 0 (with b = 3, c = 2) . Thus we get 2 different answers from the combination of statements and thus E is the correct answer. I did not understand this explanation. Firstly, The equation of a straight line should contain both x and y parameters. But the equations assumed here are different. One equation has x and other one has y. Secondly, I did not understand this inference that we need to find that whether the below relation is true or not  b/m  c/n < 0? As per my opinion, the ans should be C because if two lines are having same slope then they are parallel. So, because Y intercept for the line K is > Y intercept of line L, so X intercept of line K should be > X intercept of line L. Clear and simple. Please let me know if I am missing anything.




Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter
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