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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 [ 11.68 KiB | Viewed 2725 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.

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

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28 Nov 2013, 13:18

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Re: In the xy-plane, if line k has negative slope and passes [#permalink]

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22 Jan 2015, 13:35

Hello from the GMAT Club BumpBot!

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Re: In the xy-plane, if line k has negative slope and passes [#permalink]

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17 Jan 2017, 15:01

took some extra seconds to think of the possible options... 1 - x intercept is 0! statement 1 is sufficient. 2 - there is no possible way for x intercept to be positive - sufficient.

D must be the answer

gmatclubot

Re: In the xy-plane, if line k has negative slope and passes
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17 Jan 2017, 15:01

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