Step 1 :The general form of the parametric equations for a circle centered at \((h, k)\) with radius \(r\) is \(x = h + r \cos t\) and \(y = k - r \sin t\) if the circle is traced clockwise.
Step 2 :In this case, the center of the circle is at \((9, 6)\) and the radius is \(2\).
Step 3 :Therefore, we can substitute these values into the equation for \(y\) to find the parametric equation for \(y\).
Step 4 :Let \(t = t\), \(h = 9\), \(k = 6\), and \(r = 2\).
Step 5 :Substituting these values into the equation for \(y\), we get \(y = 6 - 2 \sin t\).
Step 6 :Final Answer: \(\boxed{y = 6 - 2 \sin t}\)