Determine whether the lines given by the equations are parallel, perpendicular, or neither. $\begin{array} { l }
y = \frac { 7 } { 8 } x - 8 \
y = - \frac { 8 } { 7 } x + \frac { 1 } { 8 }
\end{array}$
A) parallel
B) neither
C) perpendicular

Question

Determine whether the lines given by the equations are parallel, perpendicular, or neither. $\begin{array} { l } 
y = \frac { 7 } { 8 } x - 8 \
y = - \frac { 8 } { 7 } x + \frac { 1 } { 8 }
\end{array}$
A) parallel
B) neither
C) perpendicular

Quizplus · Accepted Answer

Two lines are perpendicular if and only if the product of their slopes is -1. The slope of the first line is 7/8 and the slope of the second line is -8/7. Their product is (-8/7)*(7/8)=-1, which means the lines are perpendicular.

Determine Whether the Lines Given by the Equations Are Parallel y=78x−8y=−87x+18\begin{array} { l } y = \frac { 7 } { 8 } x - 8 \\y = - \frac { 8 } { 7 } x + \frac { 1 } { 8 }\end{array}y=87​x−8y=−78​x+81​​

Determine Whether the Lines Given by the Equations Are Parallel $\begin{array} { l } y = \frac { 7 } { 8 } x - 8 \\y = - \frac { 8 } { 7 } x + \frac { 1 } { 8 }\end{array}$