9514 1404 393
Answer:
(7.5, 1.7)
Step-by-step explanation:
The point of interest (P) is the weighted average of the end points. The weights are the reverse of the lengths of the associated segments.
P = (3A +7B)/10
P = (3(-3, -6) +7(12, 5))/10 = (-9+84, -18 +35)/10 = (75, 17)/10
P = (7.5, 1.7)