The slope of a line is given. Find the slope of a line parallel to the given line and perpendicular to the given line. $$m = \frac { 9 } { 14 }$$
A) parallel: $\frac { 14 } { 9 } ;$ perpendicular: $- \frac { 9 } { 14 }$
B) parallel: $\frac { 9 } { 14 }$; perpendicular: $- \frac { 14 } { 9 }$
C) parallel: $- \frac { 9 } { 14 }$; perpendicular: $\frac { 14 } { 9 }$
D) parallel: $- \frac { 14 } { 9 } ;$ perpendicular: $\frac { 9 } { 14 }$

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope, so a line parallel to one with a slope of $ \frac { 9 } { 14 } $ also has a slope of $ \frac { 9 } { 14 } $. A line perpendicular to it has a slope that is the negative reciprocal, which is $ - \frac { 14 } { 9 } $.

The Slope of a Line Is Given m=914m = \frac { 9 } { 14 }m=149​

The Slope of a Line Is Given $m = \frac { 9 } { 14 }$