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.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.