Problems 61–68 require the following discussion.

Use the Greek method described in Problem 67 to find an equation of the tangent line to the circle x² + y² − 4x + 6y + 4 = 0 at the point (3, 2√2 − 3).

Data from problem 67

The Greek method for finding the equation of the tangent line to a circle uses the fact that at any point on a circle, the line containing the center and the tangent line are perpendicular. Use this method to find an equation of the tangent line to the circle x² + y² = 9 at the point (1, 2√2).