A straight line passing through the point \( \mathrm{A}(2,3) \) has inclination \( 45^{\circ} \)...

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A straight line passing through the point \( \mathrm{A}(2,3) \) has inclination \( 45^{\circ} \) and intersects the line \( 2 x-3 y+9=0 \) at point \( P \). Find the distance AP.
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