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Points (x, -2) and (-3, y) are in quadrants IV and II, respe

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Points (x, -2) and (-3, y) are in quadrants IV and II, respe [#permalink] New post 19 Feb 2018, 07:29
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Points (x, -2) and (-3, y) are in quadrants IV and II, respectively. If xy does not equal 0, in which quadrant is point (x,y)?

A. I

B. II

C. III

D. IV

E. Cannot be determined from the information given.

[Reveal] Spoiler: OE
If point (x,-2) is in quadrant IV, that means that x is positive, as we move over x units to the right from the origin and down 2 units.If point (-3,y) is in the II quadrant, then we know that y is positive, as we move 3 units to the left of the origin and x units up.
Thus, we know that in (x,y), we have two positive values; we move right x units and up y units from the origin, so the point must be in quadrant I. A is the answer.
[Reveal] Spoiler: OA

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Re: Points (x, -2) and (-3, y) are in quadrants IV and II, respe [#permalink] New post 20 Feb 2018, 11:59
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Background information you need to know: the four quadrants of the coordinate system start in the upper right quadrant at I and go counter-clockwise so that the upper left quadrant is II, lower left is III, and lower right is IV.

In quadrant IV, x coordinates are positive but y coordinates are negative. Thus, x must be positive. In quadrant II, x coordinates are negative but y coordinates are positive. Thus, y must be positive.

If both x and y are positive, then point (x, y) must be in the upper right quadrant, which is quadrant I. So the answer is A.
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Re: Points (x, -2) and (-3, y) are in quadrants IV and II, respe   [#permalink] 20 Feb 2018, 11:59
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Points (x, -2) and (-3, y) are in quadrants IV and II, respe

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