Answer:
The answer to your question is C and D are parallel
B and C and B and D are perpendiculars.
Explanation:
Data
Line A (-2, 3) (2, 2)
Line B (-3, 0) (3, -2)
Line C (2, 4) (0, -2)
Line D (0, 6) (-2, 0)
Process
1.- Calculate the slope of each line
m = (y2 - y1)/(x2 - x1)
Line A m = (2 - 3) / (2 + 2)
m = -1/4
Line B = (-2 - 0) / (3 + 3)
= -2/6
= -1/3
Line C = (-2 -4)/(0 - 2)
= -6/-2
= 3
Line D = (0 - 6) / (-2 - 0)
= -6/-2
= 3
2.- Conclusion
If the slopes are the same, the lines are parallel if are reciprocal, the lines are perpendicular
Line C ║ Line D
Line B ⊥ Line C and Line B ⊥ Line D