Let the normal at a point \( P \) on the curve \( y^{2}-3 x^{2}+y+10 \)\( =0 \) intersect the \(...

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Let the normal at a point \( P \) on the curve \( y^{2}-3 x^{2}+y+10 \)\( =0 \) intersect the \( y \)-axis at \( \left(0, \frac{3}{2}\right) \). If \( m \) is the slope of the tangent at to the curve, then \( |\mathrm{m}| \) is equal to
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