QuestionDetermine if the following line pairs are parallel, perpendicular, or neither:
Line 1: $y=-\frac{2}{3} x-8$, Line 2: $6 x-4 y=-6$, Line 3: $3 y=-2 x+2$.

Studdy Solution
Compare the slopes of Line2 and Line3lope of Line2 $m2 = \frac{3}{2}$lope of Line3 $m3 = -\frac{2}{3}$Since $m2 \cdot m3 = -1$, Line2 and Line3 are perpendicular.
So, the pairs of lines areLine1 and Line2 NeitherLine1 and Line3 ParallelLine2 and Line3 Perpendicular