Question

Am I correct for the following questions? because I'm not sure if I am.

If not what are the correct choices?

Which of the lines are parallel?
(1) a and b
(2) a and c
(3) a and D
(4) b and c
(5) b and D
(6) c and D


Which of the lines are perpendicular?
(1) a and b
(2) a and c
(3) a and D
(4) b and c
(5) b and D
(6) c and D


Please show all the work on how you got your answers

Answer 1

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