Write the equation of the line that is:

1. Tangent to the function $y = \frac { 3 x ^ { 2 } - 12 } { x + 2 }$ at $x = 1$.

   Hint (a):

   Write the equation of the tangent line in point-slope form.

   Steps (a):

   We know that the point of tangency happens at $x = 1$. Evaluate the function, $y$, to find the point.
   Evaluate the derivative, $y^\prime$, to find the slope.

2. Perpendicular to the tangent line in part (a) at $x = 1$.

   Hint (b):

   Definition: A 'normal line' is perpendicular to a tangent line at the point of tangency.