Determine whether the given lines are
-$y=x+8$
$\mathrm{x}+\mathrm{y}=0$
A) Neither
B) Parallel
C) Perpendicular

Question

Determine whether the given lines are 
-$y=x+8$
$\mathrm{x}+\mathrm{y}=0$
A) Neither
B) Parallel
C) Perpendicular

Quizplus · Accepted Answer

The slopes of the lines determine their relationship. The slope of the first line $y = x + 8$ is 1 (since it's in the form $y = mx + b$ where $m$ is the slope). The second line can be rewritten as $y = -x$, which has a slope of -1. Lines with slopes that are negative reciprocals of each other ($m_1 * m_2 = -1$) are perpendicular. Therefore, these lines are perpendicular.

Determine Whether the Given Lines Are - y=x+8y=x+8y=x+8 x+y=0\mathrm{x}+\mathrm{y}=0x+y=0 A) Neither B) Parallel C) Perpendicular

Determine Whether the Given Lines Are
- $y=x+8$ $\mathrm{x}+\mathrm{y}=0$ A) Neither
B) Parallel
C) Perpendicular