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# In the xy-plane, does the point (-3; 3) lie on line k?

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In the xy-plane, does the point (-3; 3) lie on line k? [#permalink]

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14 Feb 2012, 08:55
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In the xy-plane, does the point (-3; 3) lie on line k?

(1) The point (3;-3) does not lie on line k.
(2) The slope of line k is -1.
[Reveal] Spoiler: OA

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Re: In the xy-plane, does the point (-3; 3) lie on line k? [#permalink]

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14 Feb 2012, 10:21
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In the xy-plane, does the point (-3; 3) lie on line k?

(1) The point (3;-3) does not lie on line k.
(2) The slope of line k is -1.

Each statement alone is clearly insufficient.

When taken together: some line n, which passes through the two points (-3, 3) and (3, -3) has the slope equal to $$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-3}{3-(-3)}=-1$$. Now, the slope of k is also -1 and since from (1) the point (3;-3) does not lie on line k, then k is parallel to n, thus the lines n and k, have no point in common, which means that the point (-3; 3), which is on n, does not lie on line k. Sufficient.

Hope it's clear.
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Re: In the xy-plane, does the point (-3; 3) lie on line k? [#permalink]

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23 Aug 2014, 05:54
Hello from the GMAT Club BumpBot!

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Re: In the xy-plane, does the point (-3; 3) lie on line k? [#permalink]

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03 Oct 2015, 23:05
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: In the xy-plane, does the point (-3; 3) lie on line k?   [#permalink] 03 Oct 2015, 23:05
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# In the xy-plane, does the point (-3; 3) lie on line k?

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