Final answer:
The points that could lie on the line parallel to GH and passing through point J must have the same y-coordinate as J if GH is a horizontal line. Without the exact coordinates of GH and J, we cannot provide a definite answer, but we infer that points with the same y-coordinate as J would be on the parallel line.
Step-by-step explanation:
The question asks which points could lie on a line which is parallel to another line GH and passes through a given point J. A key property of parallel lines is that they have the same slope. Hence, all points that lie on a line parallel to GH and passing through J will have the same y-coordinate as point J if GH is a horizontal line or they will share some other consistent characteristic that is determined by the slope of line GH.
Without the coordinates of line GH and point J, we can't definitively answer which points are correct. However, if we are assuming GH is a horizontal line because it is parallel to the x-axis, as option (a) from the reference information suggests ("All three are parallel to each other and are along the x-axis"), then we are looking for points with the same y-coordinate as J. Thus, the correct points would be those with a y-coordinate that matches point J's y-coordinate.