The graph of which of the following will be perpendicular to the graph of y=2x-4

A) 2x+y=4

B) 4x-2y=4

C) y=-2x+8

D) 2x+4y=1

Graphs of lines are perpendicular if their lsopes multiply to - 1. In this case, since the slope of the line we know is 2, the slope of our line needs to be - 1/2. Now we need to find the slopes of each of these choices.

2x + y = 4

y = - 2x + 4

Since - 2 ≠ - 1/2, the answer is not A

4x - 2y = 4

Get positive y by itself

2y = 4x - 4

y = 2x - 2

Since 2 ≠ - 1/2, the answer is not B

y = - 2x + 8

Since - 2 ≠ - 1/2, the answer is not A

2x + 4y = 1

Get y by itself

4y = - 2x + 1

Get y

y = - 1/2x + 1

Since - 1/2 = - 1/2, the answer is D