Question

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 1

c

Explanation:

Answer 2

• C) x + 2y = - 6

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