Segment ab falls on line 6x + 3y = 9. segment cd falls on line 4x + 2y = 8. what is true about segments ab and cd?

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

Step-by-step explanation:

In order to solve this you first have to clear both equations for Y in order to leave the equation in slope form:

6x+3y=9

3y=9-6x

y=3-2x

4x+2y=8

2y=8-4x

y=4-2x

Remember that the slope is the constant that is multiplying the x, so in both functions the slope is -2 when two functions share the same slope, they are perpendicular.

Option C They are perpendicular because they have slopes that are opposite reciprocals of 2 and negative one half

Step-by-step explanation:

step 1

Find the slope of segment AB

we have

This is the equation of the line into point slope form

The slope m is equal to

step 2

Find the slope of segment CD

we have

This is the equation of the line into point slope form

The slope m is equal to

step 3

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

In this problem

mAB=2  and mCD=-1/2

so

(2)*(-1/2)=-1

so

The lines are perpendicular

therefore

They are perpendicular because they have slopes that are opposite reciprocals of 2 and negative one half