In the \(xy\)-plane, the line \(k\) passes through the origin and through the point \((a,b),\) where \(ab \ne 0.\)

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In the \(xy\)-plane, the line \(k\) passes through the origin and through the point \((a,b),\) where \(ab \ne 0.\) Is \(b\) positive?

(1) The slope of line \(k\) is negative.
(2) \(a < b\)

Answer: C

Source: GMAT Prep
Source: — Data Sufficiency |