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In the rectangular co-ordinate system shown does the line k intersect
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excelgmat
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In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  Updated on: 22 Oct 2014, 00:02
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In the rectangular co-ordinate system shown does the line k intersect quadrant II?

(1) The slope of k is -1/6
(2) The y-intercept of k is -6

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-rectangular-co-ordinate-system-shown-does-the-line-k-67693.html
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Originally posted by excelgmat on 17 Aug 2007, 04:46.
Last edited by Bunuel on 22 Oct 2014, 00:02, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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bkk145
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 05:26
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excelgmat wrote:
Does the line k intersect quadrant II ?

1. The slope of k is -1/6.

2. The y-intercept of k is -6.


A.

Say y=mx+b

(1) If we know that slope (m) is negative, we can say that it will intersect quadrant II regardless of b.
SUFFICIENT

(2) Can't tell. If you have positive slope, with b= -6, you won't have an intersection. If slope is negative, you have intersection at q II.
INSUFFICIENT.
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eschn3am
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 07:09
isn't quandrant II the one in the bottom left part of the screen?

if so:

1. yes, will intercept at some point
2. if you know the y-intercept is -6 then how would it not intercept quadrant II somehow? I'm picturing a line that goes through (0,-6) in my head and regardless of slope (assuming it's not a vertical line, which isn't the case if it intercepts at y= -6) it goes through quadrant II.

am I missing something here?
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 07:23
excelgmat wrote:
Does the line k intersect quadrant II ?

1. The slope of k is -1/6.

2. The y-intercept of k is -6.


A is fine.

the line with -ve slope may not intersect Qd. I or III but it must intersect Qd. II and IV.
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 07:24
Agreed, I looked it up and quadrant II is indeed the top left.

so I'll agree with A now. makes perfect sense 8-)
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 07:25
bkk145 wrote:
excelgmat wrote:
Does the line k intersect quadrant II ?

1. The slope of k is -1/6.

2. The y-intercept of k is -6.


A.

Say y=mx+b

(1) If we know that slope (m) is negative, we can say that it will intersect quadrant II regardless of b.
SUFFICIENT

(2) Can't tell. If you have positive slope, with b= -6, you won't have an intersection. If slope is negative, you have intersection at q II.
INSUFFICIENT.


Thanks. Great explanation.
i have a nonquant bacakground and have realized that i am pretty useless with these twisted questions in coordinated geometry.
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chiya
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 07:40
I m a bit confused ! Look at this line it has -ve slope but still passes through 3rd quadrant... A -ve slope line can online pass through 2nd and 4th ????????? Could smone draw the line...
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 08:03
chiya wrote:
I m a bit confused ! Look at this line it has -ve slope but still passes through 3rd quadrant... A -ve slope line can online pass through 2nd and 4th ????????? Could smone draw the line...


if the line passes through I, it wont passes through III and vice versa.
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chiya
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 08:15
Fistail wrote:
chiya wrote:
I m a bit confused ! Look at this line it has -ve slope but still passes through 3rd quadrant... A -ve slope line can online pass through 2nd and 4th ????????? Could smone draw the line...


if the line passes through I, it wont passes through III and vice versa.


According to A line can be in II or III or IV.... We are talking about line not the point.How can u say that it is in II ??
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 08:33
chiya wrote:
Fistail wrote:
chiya wrote:
I m a bit confused ! Look at this line it has -ve slope but still passes through 3rd quadrant... A -ve slope line can online pass through 2nd and 4th ????????? Could smone draw the line...


if the line passes through I, it wont passes through III and vice versa.


According to A line can be in II or III or IV.... We are talking about line not the point.How can u say that it is in II ??



a line with -ve slope always has to pass through Qd. II.
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eschn3am
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  17 Aug 2007, 08:35
it will 100% of the time pass through II and IV

while a positive value slope will always pass through III and I.
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In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  21 Oct 2014, 23:55
chiya wrote:
I m a bit confused ! Look at this line it has -ve slope but still passes through 3rd quadrant... A -ve slope line can online pass through 2nd and 4th ????????? Could smone draw the line...


A negative slope means that the positive angle that it makes with the X-axis is greater than 90 degrees. Hence, if you transposition your line on your graph along X-axis keeping the angle>90 degrees, the line will DEFINITELY pass through 2nd and 4th Quadrant, and may/may not pass through 3rd or 4th quadrant. Ofcourse, if it does, it may pass either 3rd or 4th quadrant, not both!
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  21 Oct 2014, 23:59
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eschn3am wrote:
isn't quandrant II the one in the bottom left part of the screen?

if so:

1. yes, will intercept at some point
2. if you know the y-intercept is -6 then how would it not intercept quadrant II somehow? I'm picturing a line that goes through (0,-6) in my head and regardless of slope (assuming it's not a vertical line, which isn't the case if it intercepts at y= -6) it goes through quadrant II.

am I missing something here?


Try visualizing the line passing through 1st, 3rd and 4th quadrant. The line still passes through (0, -6) :)
Perhaps, you are persisting your conclusions from the first statement that its slope is -1/6 and hence visualizing that ways.
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink] New post  22 Oct 2014, 00:02
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OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-rectangular-co-ordinate-system-shown-does-the-line-k-67693.html
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Re: In the rectangular co-ordinate system shown does the line k intersect [#permalink]
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