Home /
Expert Answers /
Algebra /
determine-the-slopes-of-parallel-and-perpendicular-lines-parallel-lines-have-matching-slopes-if-m-pa544

Determine the Slopes of Parallel and Perpendicular Lines Parallel lines have matching slopes. If

`m_(1)`

and

`m_(2)`

represent the slopes of two nonvertical parallel lines, then

`m_(1)=m_(2)`

. Perpendicular lines have slopes that are negative reciprocals. If

`m_(1)`

and

`m_(2)`

represent the slopes of two nonvertical perpendicular lines, then

`m_(1)=-(1)/(m_(2))`

. The slope of a line is given. Determine the slope of a line parallel and perpendicular to the given line, if possible. 5.

`m=-(3)/(8)`

`m=20`

`m=0`

Parallel: Parallel: Parallel: Perpendicular: Perpendicular: Perpendicular: