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Which equation represents a line which is perpendicular to the line y=2x-5y?
A.2x-y=-42x−y=−4
B.2y−x=4
C.x+2y=−6
D.2x+y=−2



Answer :

mhanifa

Answer:

  • C) x + 2y = - 6

Step-by-step explanation:

We know that perpendicular lines have opposite-reciprocal slopes.

Given line:

  • y = 2x - 5

Its slope is 2 and the perpendicular line has a slope of - 1/2.

Let's find the line with the slope of - 1/2:

A)

  • 2x - y = - 4
  • y = 2x + 4, the slope is 2, the answer is NO

B)

  • 2y - x = 4
  • 2y = x + 4
  • y = 1/2 x + 2, the slope is 1/2, the answer is NO

C)

  • x + 2y = - 6
  • 2y = - x - 6
  • y = - 1/2 x - 6, the slope is  - 1/2, the answer is YES

D)

  • 2x + y = - 2
  • y = - 2x - 2, the slope is - 2, the answer is NO

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