let the point be P(x,y)
slope AP = (y-3)/(x-1)
slope BP = (y-1)/(x-3)
(y-3)/(x-1) = 3(y-1)/(x-3)
xy - 3y - 3x + 9 = 3xy -3y - 3x + 3
2xy = 6
xy = 3
Test for reasonableness :
I know P(12, 1/4) lies on it
slope AP = (1/4 - 3)/(12-1)
slope BP = (1/4 - 1)/(12-3)
and -1/4 = 3(-1/12) , as needed
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