Graph $y = \frac { 1 } { 2 } x - 3$ and its inverse function on the same set of axes.

1. What is the equation of the inverse function?

   Hint (a):

   What is being done to $x$? Make a list and undo.

   Steps (a):

   1. Add $3$ to both sides of the equation.

   2. Multiply both sides of the equation by $2$

      Answer:

      $y=2(x+3)$

2. Does this graph, including both lines, have a line of symmetry? If so, what is the equation of the line of symmetry?

   Answer (b):

   The line of symmetry is $y=x$.