Determine whether the given lines are
-$6 x+2 y=8$
$27 x+9 y=37$
A) Perpendicular
B) Neither
C) Parallel

Question

Determine whether the given lines are 
-$6 x+2 y=8$
$27 x+9 y=37$
A) Perpendicular
B) Neither
C) Parallel

Quizplus · Accepted Answer

The lines are parallel because their slopes are equal. The slope of the first line is $-3$ (from $6x + 2y = 8$ or $y = -3x + 4$) and the slope of the second line is also $-3$ (from $27x + 9y = 37$ or $y = -3x + \frac{37}{9}$). Since their slopes are equal and their y-intercepts are different, the lines are parallel and do not intersect.

Determine Whether the Given Lines Are - 6x+2y=86 x+2 y=86x+2y=8

Determine Whether the Given Lines Are
- $6 x+2 y=8$