What is the equation of the line \(k\) that is perpendicular to line \(y = 2x\) and passes through the point \((a, b)?\)

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What is the equation of the line \(k\) that is perpendicular to line \(y = 2x\) and passes through the point \((a, b)?\)

(1) \(a = -b\)
(2) \(a - b = 1\)

Answer: C

Source: GMAT Club Tests
Source: — Data Sufficiency |