To find point J on segment AB such that the ratio of AJ to JB is 1:1, we need to find the midpoint of segment AB, as the midpoint divides the segment into two equal lengths.
Since the actual coordinates of points A and B are not provided, we need to choose one of the response options that could realistically be a midpoint.
Given that the options provided are:
- J(0,2)
- J(0,3)
- J(0,−3)
The option that would be the most reasonable as a midpoint based on conventional graphical representations, without specific coordinates for A and B, is J(0,2) or J(0,3). However, we cannot definitively choose between them without being able to identify points A and B.
If we assume segment AB is on the y-axis as indicated by the x-coordinate of J being 0, and since we know no further details, I would select:
Response: J(0,2)
This point is often closer to the mid-range in scenarios where A and B could have been chosen from that portion of the graph. However, remember that without exact coordinates for A and B, this is an assumption.