Explanation:
since it is a line, the coordinate changes are following a constant ratio and rate.
for the points that are equally spaced that means that their coordinate differences to the previous point are the same as for the previous point to the point before that.
so, for B the coordinates change relative to A by (+6, -4) to get (11, 22).
applying the same relative change gives us for C
(11+6, 22-4) = (17, 18)
and then from there for D
(17+6, 18-4) = (23,14)
so, AD is
(5, 26) to (23, 14).
a difference of
(23-5, 14-26) = (+18, -12)
as AD : DE = 2:1, that means that AD is twice as long as DE. and therefore the coordinate differences are twice as long.
the coordinate differences A to D are (+18, -12).
and therefore the differences from D to E are
(+18/2, -12/2) = (+9, -6)
E is then
(23+9, 14-6) = (32, 8)