Answer: (4,9)
Step-by-step explanation: We assume a straight line, so y=mx+b.
We can determine slope, m: Change in x is (6-5)=1. Change in y is (1-(-4)) = 5 Slope is (Change in y)/(Change in x) = 5/1, or 5
y=5x+b
Find b for (6,1)
1 = 5*6 + b
b = -29
y = 5x-29
Since A is (6,1) and m is (5,-4) we can calculate y for x=4 (point B)
y = 5(4)-29
y = -9
B is (4,-9)