Answer:
Perpendicular.
Step-by-step explanation:
For parallel lines slopes are equal.
The slope of y = x + 3 is 1 and the slope of y = -x - 5 is -1 so they are not parallel.
For perpendicular lines m1*m2 = -1 (where m1 and m2 are the slopes).
So these 2 lines are perpendicular.