Answer:
x =8 is the equation of the tangent.
Step-by-step explanation:
Here the equation of the given circle is: 
Now, comparing it with the general equation of circle: 
we get the central coordinates (h,k)  = (3,-2)
So, the slope of the line joining center and (8, -2) = 
Since the slope of line = 0, line is parallel to x axis. 
Now, as tangent and the line is perpendicular to each other
⇒Slope of the tangent = -1/ slope of the line = 
Now, by point slope formula: the equation of the tangent is
(y-y0)  = m (x-x0)
or, 
or x =8 is the equation of the tangent.