Final answer:
To determine which points lie on both lines L1 and L2, find the equations of the lines and solve for the common points.
Step-by-step explanation:
In order to determine which points lie on both lines L1 and L2, we need to find the equations of the lines. Given that all three points, A, B, and C, are parallel to each other and are along the x-axis, we can assume that the equations of the lines are in the form y = mx + b, where m is the slope and b is the y-intercept.
If both lines have the same slope and y-intercept, they are the same line and any point on one line will also lie on the other. However, if the slopes or y-intercepts are different, the lines will intersect at one point, and that point will be the only one common to both lines.
To determine which points lie on both lines, we need to find the equations of L1 and L2 and solve for the common points.