Segment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD? They are perpendicular because they have the same slope of −2.

They are perpendicular because they have slopes that are opposite reciprocals of −2 and .

They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.

They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept.

Step-by-step explanation:

The given lines are

Let's rewrite each equation in the form

Now, let's use the perpendicular rule

As you can observe, the slopes satisfy the perpendicular rule, that means the lines are perpendicular.

Therefore, the right answer is the second choice because it states the rule of perpendicularity between the given lines.

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

more detail

step-by-step explanation: