Let the plane \( P: 8x + \alpha_1 y + \alpha_2 z + 12 = 0 \) be parallel to the line \( L : \frac{x+2}{2} = \frac{y-3}{3} = \frac{z+4}{5} \). If the intercept of \( P \) on the \( y \)-axis is \( 1 \), then the distance between \( P \) and \( L \) is:
