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
B)