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In the xy-plane shown, is the slope of the line L negative ?

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In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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In the xy-plane shown, is the slope of the line L negative ?


(1) Line L passes through a point that is in quadrant 3

(2) Line L passes through a point that is in quadrant 4


[Reveal] Spoiler:
Attachment:
Imagen1.jpg
Imagen1.jpg [ 3.69 KiB | Viewed 3520 times ]
[Reveal] Spoiler: OA

Originally posted by guerrero25 on 06 Oct 2013, 04:42.
Last edited by Bunuel on 22 Mar 2018, 00:13, edited 3 times in total.
Edited the question.
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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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guerrero25 wrote:
Attachment:
The attachment Imagen1.jpg is no longer available
In the xy-plane shown, is the slope of the line L negative ?

(1) Line L passes through a point that is in quadrant 3
(2) Line L passes through a point that is in quadrant 4


The slope can be negative (red line), positive (green line) or 0 (vertical blue line):
Attachment:
Untitled.png
Untitled.png [ 15.31 KiB | Viewed 3617 times ]


Answer: E.
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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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New post 16 Dec 2014, 02:26
Bunuel wrote:
guerrero25 wrote:
Attachment:
Imagen1.jpg
In the xy-plane shown, is the slope of the line L negative ?

(1) Line L passes through a point that is in quadrant 3
(2) Line L passes through a point that is in quadrant 4


The slope can be negative (red line), positive (green line) or 0 (vertical blue line):
Attachment:
Untitled.png


Answer: E.



But if we combine statements 1 and 2, we can have only line passing through two points (one point in Q3 and the other in Q4). Is this not correct? how should the combination of statement 1 and 2 be interpreted?
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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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New post 16 Dec 2014, 04:25
skrmsiva wrote:
Bunuel wrote:
guerrero25 wrote:
Attachment:
Imagen1.jpg
In the xy-plane shown, is the slope of the line L negative ?

(1) Line L passes through a point that is in quadrant 3
(2) Line L passes through a point that is in quadrant 4


The slope can be negative (red line), positive (green line) or 0 (vertical blue line):

Image

Answer: E.



But if we combine statements 1 and 2, we can have only line passing through two points (one point in Q3 and the other in Q4). Is this not correct? how should the combination of statement 1 and 2 be interpreted?


Sorry, I don't understand what you mean at all... Please elaborate.
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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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New post 13 Jan 2015, 07:06
In the x-y plane, is the slope of the line negative ?

1) Line l passes through a point that is in Quadrant III
2) Line l passes through a point that is in Quadrant IV

OA will be added by tomorrow.
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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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New post 13 Jan 2015, 07:26
rajatgugnani wrote:
In the x-y plane, is the slope of the line negative ?

1) Line l passes through a point that is in Quadrant III
2) Line l passes through a point that is in Quadrant IV

OA will be added by tomorrow.


Merging topics. Please refer to the discussion above.

P.S. The OA must be provided when posting a question.
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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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STAT1 and STAT2 alone are not sufficient as the line can be any way so slope can be positive negative, zero or infinity

STAT1 and STAT2 together are also not sufficient as there can be two cases which will give both positive and negative slopes
(Figure attached)

So, answer will be E

Hope it helps!
rajatgugnani wrote:
In the x-y plane, is the slope of the line negative ?

1) Line l passes through a point that is in Quadrant III
2) Line l passes through a point that is in Quadrant IV

OA will be added by tomorrow.

Attachments

File comment: Two Cases
example.png
example.png [ 8.81 KiB | Viewed 2605 times ]


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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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New post 14 Jan 2015, 01:03
Bunuel wrote:
guerrero25 wrote:
Attachment:
Imagen1.jpg
In the xy-plane shown, is the slope of the line L negative ?

(1) Line L passes through a point that is in quadrant 3
(2) Line L passes through a point that is in quadrant 4


The slope can be negative (red line), positive (green line) or 0 (vertical blue line):
Attachment:
Untitled.png


Answer: E.


Dear Bunuel,

Can you please explain in little detail how the red line and green line are respectively having negative and positive slope.

I cannot understand that.

Thank You in advance.

P.S.From now on I'll keep in mind and will post OA at the time of posting the question.
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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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New post 14 Jan 2015, 01:51
rajatgugnani wrote:
Bunuel wrote:
guerrero25 wrote:
Attachment:
Imagen1.jpg
In the xy-plane shown, is the slope of the line L negative ?

(1) Line L passes through a point that is in quadrant 3
(2) Line L passes through a point that is in quadrant 4


The slope can be negative (red line), positive (green line) or 0 (vertical blue line):
Attachment:
Untitled.png


Answer: E.


Dear Bunuel,

Can you please explain in little detail how the red line and green line are respectively having negative and positive slope.

I cannot understand that.

Thank You in advance.

P.S.From now on I'll keep in mind and will post OA at the time of posting the question.


Check Coordinate Geometry chapter of our math book.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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New post 14 Jan 2015, 02:44
Thanks Bunuel. I checked the Book. It helped.

Learned about positive, negative, zero and un defined slope.
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Re: In the xy-plane shown, is the slope of the line L negative ? [#permalink]

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Re: In the xy-plane shown, is the slope of the line L negative ?   [#permalink] 22 Mar 2018, 00:08
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