Answer:
(11, 3)
Explanation:
You want the point 1/6 of the way from A(14, -1) to B(-4, 23).
Dividing point
The point P that divides AB into the fractional parts k and (1 -k) is ...
P = (1-k)A +kB
Application
For k = 1/6, the dividing point is ...
P = (5/6)(14, -1) +(1/6)(-4, 23) = (5·14 -4, 5(-1) +23)/6 = (66, 18)/6
P = (11, 3)
The point 1/6 of the way from A to B is (11, 3).