Step-by-step explanation:
Given line:
We are looking for a parallel and a perpendicular line to the given with a y-intercept of 6.
a)
Parallel lines have equal slopes:
- y = 3x + 6 is the parallel line
b)
Perpendicular lines have negative-reciprocal slopes:
- y = -1/3x + 6 is the perpendicular line
