Final answer:
To find the length XY, use the distance formula sqrt((x2 - x1)02 + (y2 - y1)2) with the given coordinates.
Step-by-step explanation:
To find the length XY, we can use the distance formula:
d = sqrt((x2 - x1)2 + (y2 - y1)2)
Using the given coordinates X(-4,7) and Y(2,6), we substitute these values into the formula:
d = sqrt(36 + 1)
d = sqrt(37)
Therefore, the length XY is approximately 6.08 units.