Question

If line l has slope , then

1. any line parallel to line l will have slope ____, and

2. any line perpendicular to line l will have slope ____.

Answer 1

Slope of the line l is m  = 3/4

1)

If two lines are parellel then slopes are equal

Hence, any line parallel to line l will have slope 3/4.

2)

If two lines are perpendicular to each other then 

m1 X m2  =  -1

3/4 X m2  =  -1

m2  =  -1 (4/3)

m2  =  -4/3.

Hence, any line perpendicular to line l will have slope  -4/3.

Answer :

1) Any line parallel to line l will have slope 3/4.

2) Any line perpendicular to line l will have slope  -4/3.