In the \(xy\)-coordinate plane, the graph of \(y=x^2-kx-6,\) where \(k\) is a constant, crosses the \(x\)-axis at two

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In the \(xy\)-coordinate plane, the graph of \(y=x^2-kx-6,\) where \(k\) is a constant, crosses the \(x\)-axis at two points. What is the value of \(k?\)

(1) For each of the two points where the graph crosses the \(x\)-axis, the \(x\)-coordinate is an integer.
(2) The graph crosses the \(x\)-axis at \((1,0).\)

Answer: B

Source: GMAT Prep
Source: — Data Sufficiency |