Answer:
(3, 7)
Step-by-step explanation:
Let's say that the intermediate point is P. Then we have ...
P - A = (3/4)(B - A)
(4/3)(P -A) = B - A . . . . . . . . . multiply by 4/3
(4/3)P -(4/3)A + A = B . . . . . . add A
(4P -A)/3 = B . . . . . . . . . . . . . simplify
Then the coordinates of point B are ...
B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3
B = (3, 7)
