Determine whether the pair of lines is parallel, perpendicular, or neither.
-$\begin{array} { l }
y = \frac { 5 } { 2 } x + 2 \
y = - \frac { 2 } { 5 } x + 8
\end{array}$
A) parallel
B) perpendicular
C) neither

Question

Determine whether the pair of lines is parallel, perpendicular, or neither.
-$\begin{array} { l } 
y = \frac { 5 } { 2 } x + 2 \
y = - \frac { 2 } { 5 } x + 8
\end{array}$
A) parallel
B) perpendicular
C) neither

Quizplus · Accepted Answer

The slopes of the two lines are $m_1 = \frac{5}{2}$ and $m_2 = -\frac{2}{5}$. Since $m_1 \cdot m_2 = \frac{5}{2} \cdot -\frac{2}{5} = -1$, the lines are perpendicular.

Determine Whether the Pair of Lines Is Parallel, Perpendicular, or Neither