Final answer:
The equation of the line passing through the points (1,3) and (1, 6) is a vertical line, thus the equation is x = 1.
Step-by-step explanation:
To find the equation of the line passing through the points (1,3) and (1, 6), first notice that both points have the same x-coordinate. This indicates that the line is vertical and parallel to the y-axis. In such a case, the equation of the line does not have a slope in the typical sense because a vertical line slope is undefined. Instead, the line's equation is simply x equal to the shared x-coordinate of the two points. Therefore, the equation of the line is x = 1.