Determine whether the lines are parallel, perpendicular, or neither.
-$$\begin{array} { l }
4 x - 36 y = 3 \
- 9 x - y = 9
\end{array}$$
A) Parallel
B) Perpendicular
C) Neither

Question

Determine whether the lines are parallel, perpendicular, or neither.
-$$\begin{array} { l } 
4 x - 36 y = 3 \
- 9 x - y = 9
\end{array}$$
A) Parallel
B) Perpendicular
C) Neither

Quizplus · Accepted Answer

The slopes of the lines are calculated from their equations. The first line can be rewritten in slope-intercept form as $y = \frac{1}{12}x - \frac{1}{12}$, giving a slope of $\frac{1}{12}$. The second line can be rewritten as $y = -9x - 9$, giving a slope of $-9$. The product of the slopes is $-\frac{3}{4}$, which is not -1, so the lines are neither parallel nor perpendicular.

Determine Whether the Lines Are Parallel, Perpendicular, or Neither 4x−36y=3−9x−y=9\begin{array} { l } 4 x - 36 y = 3 \\- 9 x - y = 9\end{array}4x−36y=3−9x−y=9​

Determine Whether the Lines Are Parallel, Perpendicular, or Neither $\begin{array} { l } 4 x - 36 y = 3 \\- 9 x - y = 9\end{array}$