The slope of a line is given. Find the slope of a line parallel to the given line and perpendicular to the given line. $$m = \frac { 6 } { 5 }$$
A) parallel: $\frac { 5 } { 6 }$; perpendicular: $- \frac { 6 } { 5 }$
B) parallel: $\frac { 6 } { 5 } ;$ perpendicular: $- \frac { 5 } { 6 }$
C) parallel: $- \frac { 6 } { 5 }$; perpendicular: $\frac { 5 } { 6 }$
D) parallel: $- \frac { 5 } { 6 } ;$ perpendicular: $\frac { 6 } { 5 }$

Question

Quizplus · Accepted Answer

Parallel lines have the same slope, so a line parallel to one with a slope of $ \frac { 6 } { 5 } $ also has a slope of $ \frac { 6 } { 5 } $. Perpendicular lines have slopes that are negative reciprocals of each other, so the slope of a line perpendicular to one with a slope of $ \frac { 6 } { 5 } $ is $ - \frac { 5 } { 6 } $.

The Slope of a Line Is Given m=65m = \frac { 6 } { 5 }m=56​

The Slope of a Line Is Given $m = \frac { 6 } { 5 }$