Determine whether the given lines are parallel, perpendicular, or neither.
-$$\begin{array} { l }
8 x + 9 y = - 17 \
y = - \frac { 8 } { 9 } x - 14
\end{array}$$
A) Parallel
B) Perpendicular
C) Neither

Question

Determine whether the given lines are parallel, perpendicular, or neither.
-$$\begin{array} { l } 
8 x + 9 y = - 17 \
y = - \frac { 8 } { 9 } x - 14
\end{array}$$
A) Parallel
B) Perpendicular
C) Neither

Quizplus · Accepted Answer

The slopes of the lines are the same. The first line can be rewritten in slope-intercept form as $ y = -\frac{8}{9}x - \frac{17}{9} $, which has a slope of $-\frac{8}{9}$. The second line already has a slope of $-\frac{8}{9}$. Since the slopes are equal, the lines are parallel.

Determine Whether the Given Lines Are Parallel, Perpendicular, or Neither 8x+9y=−17y=−89x−14\begin{array} { l } 8 x + 9 y = - 17 \\y = - \frac { 8 } { 9 } x - 14\end{array}8x+9y=−17y=−98​x−14​

Determine Whether the Given Lines Are Parallel, Perpendicular, or Neither $\begin{array} { l } 8 x + 9 y = - 17 \\y = - \frac { 8 } { 9 } x - 14\end{array}$