contestada

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

Respuesta :

mhanifa

Answer:

  • 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

  • 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
Alejavroj18

Answer:

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

Otras preguntas