Tell whether the lines are "parallel", "perpendicular", or "neither."
-$$\begin{array} { l }
3 x - 9 y = - 11 \
27 x + 12 y = - 11
\end{array}$$
A) Neither
B) Perpendicular
C) Parallel

Question

Tell whether the lines are "parallel", "perpendicular", or "neither."
-$$\begin{array} { l } 
3 x - 9 y = - 11 \
27 x + 12 y = - 11
\end{array}$$
A) Neither
B) Perpendicular
C) Parallel

Quizplus · Accepted Answer

The slopes of the two lines must be calculated to determine their relationship. For the first equation, rearranging it into slope-intercept form (y = mx + b) gives $y = \frac{1}{3}x + \frac{11}{9}$, so its slope is $1/3$. For the second equation, rearranging it gives $y = -\frac{9}{4}x - \frac{11}{12}$, so its slope is $-9/4$. Since the slopes are neither equal (which would indicate parallel lines) nor negative reciprocals of each other (which would indicate perpendicular lines), the lines are neither parallel nor perpendicular.

Tell Whether the Lines Are "Parallel", "Perpendicular", or "Neither 3x−9y=−1127x+12y=−11\begin{array} { l } 3 x - 9 y = - 11 \\27 x + 12 y = - 11\end{array}3x−9y=−1127x+12y=−11​

Tell Whether the Lines Are "Parallel", "Perpendicular", or "Neither $\begin{array} { l } 3 x - 9 y = - 11 \\27 x + 12 y = - 11\end{array}$