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Slope of a line passing through $P(2, 3)$ and intersecting the line $x + y = 7$ at a distance of 4 units from $P$, is:
(1) $\frac{1 - \sqrt{5}}{1 + \sqrt{5}}$
(2) $\frac{1 - \sqrt{7}}{1 + \sqrt{7}}$
(3) $\frac{\sqrt{7} - 1}{\sqrt{7} + 1}$
(4) $\frac{\sqrt{5} - 1}{\sqrt{5} + 1}$
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