A line of slope 32 passes through the point A(2,−1). A point P is chosen on this line such that its distance from the point B(8,3) is exactly 5 units.
(i) Write the Cartesian equation of the line that passes through A with slope 32.
(ii) Using the result of part (i), find the coordinates of all possible points P that satisfy the stated distance condition. Show every algebraic step clearly.