Final answer:
The lines x = -4 and x = 1 are both vertical lines with fixed x-coordinates and therefore are parallel, as vertical lines do not intersect and maintain their separation.
Step-by-step explanation:
To determine whether the given lines x = -4 and x = 1 are parallel, we need to understand their graphical representation. These equations are examples of vertical lines, which means their slope is undefined. A vertical line is one where every point on the line has the same x-coordinate.
Since the lines x = -4 and x = 1 consist of all points where the x-coordinate is fixed at -4 for the first line and at 1 for the second line, they do not share the same slope, but rather are distinct lines that do not intersect. Therefore, they are indeed parallel to each other as parallel lines are defined as lines in the same plane that never meet.