Plonk in these 3 points into successively.
a (6,2): 36 + 4 + 12g + 4f + c = 0
b (5,3): 25 + 9 + 10g + 6f + c = 0
d (3,-1): 9 + 1 + 6g - 2f + c = 0
Adding (iv) and (v) gives:
From (iv):
From (iii):
The equation is