In the \(xy\) plane, line \(P\) intersects \(y=x^2+3\) at how many points?

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In the \(xy\) plane, line \(P\) intersects \(y=x^2+3\) at how many points?

(1) Line \(P\) has a slope of \(0.\)
(2) Line \(P\) passes through \((-2, 7).\)

Answer: C

Source: Veritas Prep