Question

50 POINTS + BRAINLIEST

Answer 1

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

Answer 2

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

hope it helps