QuestionThe equations of three lines are given below. Line 1: $y=-2 x-8$ Line 2: $3 x-6 y=-6$ Line 3: $y=-2 x+1$
For each pair of lines, determine whether they are parallel, perpendicular, or neith
Line 1 and Line 2 : Parallel Perpendicular Neither Line 1 and Line 3: Parallel Perpendicular Neither Line 2 and Line 3 : Parallel Perpendicular Neither

Studdy Solution
Compare the slopes of Line 2 and Line 3:
- Slope of Line 2: $m_2 = \frac{1}{2}$ - Slope of Line 3: $m_3 = -2$
Since $m_2 \neq m_3$ and $m_2 \cdot m_3 = \frac{1}{2} \cdot -2 = -1$, the lines are perpendicular.
The results are: - Line 1 and Line 2: Perpendicular - Line 1 and Line 3: Parallel - Line 2 and Line 3: Perpendicular