Final answer:
The length of segment XY is approximately 5.66 units.
Step-by-step explanation:
To find the length of segment XY with endpoints at X(3, -2) and Y(-1, 2), we can use the distance formula. The distance formula is given by d = √[(x2 - x1)^2 + (y2 - y1)^2].
Substituting the coordinates into the formula, we get d = √[(-1 - 3)^2 + (2 - (-2))^2].
Simplifying the equation, we have d = √[16 + 16] = √32. Therefore, the length of XY is √32 or approximately 5.66 units.