(Solved): (1 point) If \( \ln \left(x^{2}-8 y\right)=x-y+4 \) and \( y(-3)=1 \), find \( y^{\prime}(-3) \) by ...

(1 point) If \( \ln \left(x^{2}-8 y\right)=x-y+4 \) and \( y(-3)=1 \), find \( y^{\prime}(-3) \) by implicit differentiation. \[ y^{\prime}(-3)= \] An equation of the tangent line to the curve at the point \( (-3,1) \) is \[ y= \]