Segment AB falls on line 6x + 3y = 9. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

A. They are parallel because they have the same slope of - 2.

B. They are perpendicular because they have slopes that are opposite reciprocals of - 2 and one half.

C. They are parallel because they have the same slope of 2.

D. They are perpendicular because they have opposite reciprocal slopes 2 and negative one half.

Option A is the correct answer

Step-by-step explanation:

We are given that Segment AB falls on line 6x + 3y = 9. Segment CD falls on line 4x + 2y = 8. Thus let's make y the subject in each segment;

For segment AB;

6x + 3y = 9

Rearranging, we have;

3y = - 6x + 9

Divide each term by 3 to give;

y = - 2x + 3

For segment CD;

4x + 2y = 8

Rearranging;

2y = - 4x + 8

Divide each term by 2 to give;

y = - 2x + 4

So, each line has a slope of - 2 and are therefore parallel.

Option A is the correct answer