Answer:x + 2y = 6
2y = -x + 6
y = -1/2 x + 3 so slope = -1/2
parallel lines has same slope = -1/2
perpendicular lines slope is opposite and reciprocal so slope = 2
if slope not equal either -1/2 or 2 then neither.
y = -1/2 x - 5 ....m= - 1/2.... parallel
-2x + y = -4
y = 2x - 4...m = 2 ....perpendicular
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 ...m = 1/2 ...neither
x + 2y = -2
2y = -x - 2
y = -1/2 x - 1 ...m = -1/2 .....parallel
