Parallel, perpendicular or neither

Are my answers correct for my homework?

Are the lines parallel, perpendicular or neither?
3y − 2x = -3
2y + 3x = 4
My answer: perpendicular

Are the lines parallel, perpendicular or neither?
y = 3x − 2
2x − y = 3
Answer: Perpendicular

Determine if the following lines are parallel, perpendicular, coinciding, or intersecting:
y = -4x + 14
-x + 4y = 14
Answer: Coinciding

Are the lines parallel, perpendicular or neither?
3y − 3 = 2x
y = 3/2 x + 2
Answer: Parallel

Are the lines parallel, perpendicular or neither?
2x − y = 6
x + y = 4
Answer: Perpendicular

3y - 2x = -3
3y = 2x - 3
y = 2/3x - 1

2y + 3x = 4
2y = -3x + 4
y = -3/2x + 2

Answer: Perpendicular
__________

y = 3x - 2

2x - y = 3
-y = -2x + 3
y = 2x - 3

Answer: Neither
__________

y = -4x + 14

-x + 4y = 14
4y = x + 14
y = 1/4 + 7/2

Answer: Perpendicular
___________

y = -4x + 14

-x + 4y = 14
4y = x + 14
y = 1/4x + 7/2

Answer: Intersecting
__________

3y - 3 = 2x
3y = 2x + 3
y = 2/3x + 3/2

y = 3/2x + 2

Answer: Neither
__________

2x - y = 6
-y = -2x + 6
y = 2x - 6

x + y = 4
y = -x + 4

Answer: Neither

1st set is correct

2nd set not. slopes are 3 and 2 so the lines cross but not perpendicular

Third set are perpendicular. slopes are -4 and 1/4


4th set intersecting slopes are 3/2 and 2/3

5th set. intersecting slopes are 2 and 1