Find the length of line segment BC.

To find the length of line segment BC, we need to use the distance formula, which is √((x2-x1)^2 + (y2-y1)^2).

Given the coordinates of point B are (4,3) and the coordinates of point C are (2,7), let's plug in these values into the formula:

√((2-4)^2 + (7-3)^2)
= √((-2)^2 + (4)^2)
= √(4 + 16)
= √20
= 4.47

Therefore, the length of line segment BC is approximately 4.47 units.