Y=3x+2
part 1) find the slope of a line that is parallel to the given line.

part 2) find the slope of a line that is perpendicular to the the given line.

Y= 3x + 2

Two lines are parallel if they have the SAME slope:
Part 1) Find the slope of a line that is parallel to the given line: SLOPE = 3
 
Part 2) Find the slope of a line that is perpendicular to the given line:
Two lines are perpendicular if the slope of one is the negative reciprocal of the other ( example if the slope of the 1st is "a" , the slope of the perpendicular line will be "(- 1/a)"

In our case a = 3, then the line perpendicular will be - 1/3

(or in shorter terms the product of the slopes of 2 perpendicular lines = -1)

( 3 x -1/3 = -1)