Final answer:
The length of line segment IJ is found by subtracting the length of HI from HJ (IJ = HJ - HI), resulting in a length of 6 units, which is option (b).
Step-by-step explanation:
The question relates to finding the length of a line segment IJ given that I is a point on line segment HJ and the lengths of segments HJ and HI.
To find the length of segment IJ, we need to subtract the length of HI from the total length of HJ.
Given:
HJ = 8
HI = 2
Therefore, the length of IJ is calculated as follows:
IJ = HJ - HI
IJ = 8 - 2
IJ = 6
Thus, the length of line segment IJ is 6 units, which corresponds to option (b).