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In the xy-plane, if line k has negative slope and passes

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In the xy-plane, if line k has negative slope and passes [#permalink] New post 15 May 2012, 20:26
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62% (02:18) correct 38% (01:04) wrong based on 69 sessions
In the xy-plane, if line k has negative slope and passes through the point (s;-2), is the x-intercept of line k positive?

(1) s = 0
(2) The y-intercept of line k is negative.
[Reveal] Spoiler: OA

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Re: In the xy-plane, if line k has negative slope and passes [#permalink] New post 16 May 2012, 00:09
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In the xy-plane, if line k has negative slope and passes through the point (s;-2), is the x-intercept of line k positive?

Look at the diagram below:
Attachment:
Intercept.png
Intercept.png [ 11.68 KiB | Viewed 1518 times ]

(1) s = 0. Directly gives the y-intercept of line k: (0, -2). Since the y-intercept of line k is negative and the slope of line k is negative too then the x-intercept of line k must also be negative. Sufficient.

(2) The y-intercept of line k is negative. The same here: since the y-intercept of line k is negative and the slope of line k is negative too then the x-intercept of line k must also be negative.

Answer: D.
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Re: In the xy-plane, if line k has negative slope and passes [#permalink] New post 28 Nov 2013, 13:18
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Re: In the xy-plane, if line k has negative slope and passes   [#permalink] 28 Nov 2013, 13:18
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