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