In the xy-plane, does the point (-3; 3) lie on line k? : GMAT Data Sufficiency (DS)
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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?

(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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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.

Answer: C.

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

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

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Re: In the xy-plane, does the point (-3; 3) lie on line k?   [#permalink] 21 Feb 2017, 22:52
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