A line parallel to the graph of y = -x + 14 will have the same slope as this line because parallel lines have the same slope. The slope of the line y = -x + 14 is -1.
So, any line parallel to it will have the same slope of -1. Therefore, the equation of a line parallel to y = -x + 14 would be in the form y = -x + c, where c is a constant.