Final answer:
The slope of a line parallel to y = x - 4 is 1, and the slope of a line perpendicular to y = x - 4 is -1.
Step-by-step explanation:
In the given line y = x - 4, the coefficient of x is 1, which represents the slope of the line. Therefore, a line parallel to this graph would have the same slope of 1.
To find the slope of a line perpendicular to this graph, we can use the fact that the product of the slopes of perpendicular lines is -1. So, the slope of a line perpendicular to y = x - 4 would be -1 divided by the original slope, which is -1.