Question

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 one half. 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

Answer 1

Answer:

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

Step-by-step explanation:

Let's solve each equation for y and put it in the y = mx + b form. Then m is the slope, and we can tell if the lines are parallel or perpendicular or neither.

2x - 4y = 8

-4y = -2x + 8

y = 1/2 x - 2; m = 1/2

4x + 2y = 8

2y = -4x + 8

y = -2x + 4; m = -2

Now that both equations are in the slope-intercept form, we see that the slopes are 1/2 and -2.

The slopes are opposite reciprocals, -2 and 1/2, so the lines are perpendicular.

Answer: They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.

Answer 2

Answer:

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

Step-by-step explanation:

This is because x = -2 and half of -2 is 1

when we use CD line and x2 we find 8x+4y=16 when added to 2x -4y=8 would equal 10x+4y = 2 1/2 xy = 16

When we use for AB line we see they are perpendicular 2 1/2 x 2 = 5 -4y = 8 shows y to be -2 and the 1/2 line leaves -2 1/2 and x also is 2 1/2.