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BTG Practice question

by rohu27 » Wed Feb 16, 2011 8:07 am
In the xy-coordinate system, do any points on line k lie in quadrant III?

(1) Line k has y-intercept 2

(2) Line k has slope 2/3

[spoiler]OA:B
Can someoe please explain how to plot the slope in a graph, and also why cant the line just end in second quadrant, why do we need to consider the extension and then say it would definitely pass through 3rd quadrant.
I think m missing some basic concepts here. Help![/spoiler]
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Source: — Data Sufficiency |
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by GMATGuruNY » Wed Feb 16, 2011 8:34 am
rohu27 wrote:In the xy-coordinate system, do any points on line k lie in quadrant III?

(1) Line k has y-intercept 2

(2) Line k has slope 2/3

[spoiler]OA:B
Can someoe please explain how to plot the slope in a graph, and also why cant the line just end in second quadrant, why do we need to consider the extension and then say it would definitely pass through 3rd quadrant.
I think m missing some basic concepts here. Help![/spoiler]
A line, by definition, extends forever in each direction. A line segment has endpoints at each end.

Thus:
If a line has a positive slope and a positive y intercept, it will pass through quadrants I, II, and III:
Image

If a line has a positive slope and passes through the origin, it will pass through quadrants I and III:
Image

If a line has a positive slope and a negative y intercept, it will pass through quadrants I, III, and IV.
Image

Thus, statement 2 is sufficient. As we can see above, a line with a positive slope will always pass through quadrant III.

The correct answer is B.
Last edited by GMATGuruNY on Wed Feb 16, 2011 9:41 am, edited 1 time in total.
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by ankur.agrawal » Wed Feb 16, 2011 9:13 am
Sorry Guru did not get the concept. Can u pls show it on a graph. I am confused.

Thanks in advance.
GMATGuruNY wrote:
rohu27 wrote:In the xy-coordinate system, do any points on line k lie in quadrant III?

(1) Line k has y-intercept 2

(2) Line k has slope 2/3

[spoiler]OA:B
Can someoe please explain how to plot the slope in a graph, and also why cant the line just end in second quadrant, why do we need to consider the extension and then say it would definitely pass through 3rd quadrant.
I think m missing some basic concepts here. Help![/spoiler]
A line, by definition, extends forever in each direction. A line segment has endpoints at each end.

Thus:
If a line has a positive slope and a positive y intercept, it will pass through quadrants 1, 2, and 3.
If a line has a positive slope and passes through the origin, it will pass through quadrants 1 and 3.
If a line has a positive slope and a negative y intercept, it will pass through quadrants 1, 3, and 4.

Thus, statement 2 is sufficient. As we can see above, a line with a positive slope will always pass through quadrant 3.

The correct answer is B.
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by GMATGuruNY » Wed Feb 16, 2011 9:43 am
ankur.agrawal wrote:Sorry Guru did not get the concept. Can u pls show it on a graph. I am confused.

Thanks in advance.
GMATGuruNY wrote:
rohu27 wrote:In the xy-coordinate system, do any points on line k lie in quadrant III?

(1) Line k has y-intercept 2

(2) Line k has slope 2/3

[spoiler]OA:B
Can someoe please explain how to plot the slope in a graph, and also why cant the line just end in second quadrant, why do we need to consider the extension and then say it would definitely pass through 3rd quadrant.
I think m missing some basic concepts here. Help![/spoiler]
A line, by definition, extends forever in each direction. A line segment has endpoints at each end.

Thus:
If a line has a positive slope and a positive y intercept, it will pass through quadrants 1, 2, and 3.
If a line has a positive slope and passes through the origin, it will pass through quadrants 1 and 3.
If a line has a positive slope and a negative y intercept, it will pass through quadrants 1, 3, and 4.

Thus, statement 2 is sufficient. As we can see above, a line with a positive slope will always pass through quadrant 3.

The correct answer is B.
Please revisit my original response, to which graphs have been added.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
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