Question

Which of the following lines is perpendicular to the equation given below?

y=−2x+8

A. 2x−y=12

B.x−2y=6x

C.x+2y=8x

D.2x+y=4

Answer 1

B. x−2y=6

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

The given line is

y = -2x + 8

Perpendicular line to this must have a slope of

- 1/(-2) = 1/2

Option A

2x - y = 12

y = 2x - 12

Slope is 2

No

Option B

x - 2y = 6

2y = x - 6

y = 1/2x - 3

Slope is 1/2

Yes

Option (C) is correct

x + 2y = 8

2y = - x + 8

y = -1/2x + 4

Slope is -1/2

No

Option D

2x + y = 4

y = -2x + 4

Slope is -2

No

Answer 2

• B. x−2y=6

Explanation:

Perpendicular lines have negative reciprocal slopes

The given line is

• y = -2x + 8

Perpendicular line to this must have a slope of

• - 1/(-2) = 1/2

Option A

• 2x - y = 12
• y = 2x - 12
• Slope is 2
• No

Option B

• x - 2y = 6
• 2y = x - 6
• y = 1/2x - 3

• Slope is 1/2
• Yes

Option C

• x + 2y = 8
• 2y = - x + 8
• y = -1/2x + 4
• Slope is -1/2
• No

Option D

• 2x + y = 4
• y = -2x + 4
• Slope is -2
• No