Answer: Distance = 13 units
Step-by-step explanation: To find length we can apply distance formula to our two points.
d = √((x2-x1)2 + (y2-y1)2)
(x2-x1) = (3 - 8) = -5
(y2-y1) = (2 - 14) = -12
(-5)^2 + (-12)^2 = √25 + 144
25 + 144 = √169
√169 = 13
Therefore, we can conclude the distance between X (8,14) and Y (3,2) is 13 units.