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In the xy plane, line x goes through the point (a,1) and lin

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In the xy plane, line x goes through the point (a,1) and lin  [#permalink]

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New post Updated on: 22 Nov 2013, 02:10
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In the xy plane, line x goes through the point (a,1) and line y goes through the point (1,b). If the lines x and y intersect, is the slope of x bigger than the slope of y?

(1) a > b
(2) |a| > |b|

Appreciate if someone could help with the following question. Appreciate also referrals/links to similar questions to digest the subject/theory behind this better. Thanks.

Originally posted by BabySmurf on 22 Nov 2013, 01:34.
Last edited by Bunuel on 22 Nov 2013, 02:10, edited 1 time in total.
Renamed the topic and edited the question.
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Re: In the xy plane, line x goes through the point (a,1) and lin  [#permalink]

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New post 22 Nov 2013, 02:16
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BabySmurf wrote:
In the xy plane, line x goes through the point (a,1) and line y goes through the point (1,b). If the lines x and y intersect, is the slope of x bigger than the slope of y?

(1) a > b
(2) |a| > |b|

Appreciate if someone could help with the following question. Appreciate also referrals/links to similar questions to digest the subject/theory behind this better. Thanks.


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Hope this helps.
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Re: If the lines x and y intersect, is the slope of x bigger?  [#permalink]

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New post 22 Nov 2013, 02:08
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BabySmurf wrote:

In the xy plane, line x goes through the point (a,1) and line y goes through the point (1,b). If the lines x and y intersect, is the slope of x bigger than the slope of y?
(1) a > b
(2) |a| > |b|


From F.S 1, Assume a=1,b=0.

From the graph,line y is represented as blue and has a slope of 0.Thus, For the green line,which passes through (1,1), the slope is negative and thus less than the slope of line y

For the red line, which passes through (1,1), the slope is positive and more than the slope of line y.Insufficient.

From F.S 2, assuming the same set as a=1,b=0, we have the same result as above.

Taking both together , we have nothing new to add.

E.
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Re: In the xy plane, line x goes through the point (a,1) and lin  [#permalink]

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New post 24 Nov 2013, 04:13
hard one, is it e.

I just draw and feel.
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Re: In the xy plane, line x goes through the point (a,1) and lin  [#permalink]

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New post 22 Aug 2018, 19:37
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Hope the solution below helps

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Re: In the xy plane, line x goes through the point (a,1) and lin  [#permalink]

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New post 24 Aug 2018, 00:24
great explanation above
we should use algebra not drawing for this type, because doing so is quicker.
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Re: In the xy plane, line x goes through the point (a,1) and lin  [#permalink]

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New post 06 Sep 2018, 08:05
thangvietnam wrote:
great explanation above
we should use algebra not drawing for this type, because doing so is quicker.


How long will it take for you to make all this algebra? Drawing and answering took 3 min, and I got the right answer.
Althought the question can be approached logicaly: to know the slope of any line we have to know at least 2 points.
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Re: In the xy plane, line x goes through the point (a,1) and lin   [#permalink] 06 Sep 2018, 08:05
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