Two lines are perpendicular. The equation of the first line is y = 4x + 1. Which of the following cannot be the equation of the second line?
A.
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B.
x – 4y = –2
C.
x + 4y = 2
D.
8y = –2x – 5
If two lines are perpendicular then their slopes are in the relation: m 1 = -1/m2 In this case: y = 4 x + 1 m = 4, so another slope must be: m = -1/4 For line B: x - 4 y = -2 - 4 y = - x - 2 /: (-4) y = 1/4 x + 1/2 m = 1/4 ≠ -1/4 Answer: B)
