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. y=-1/4x-2
b. x – 4y = –2
c. x + 4y = 2
d. 8y = –2x – 5

Ok so the slope of the 2 lines must multiply to -1

first find the given slope of the line

y=mx+b
m=slope
y=4x+1
4=slope
4 times what=-1
-1/4

y=-1/4x+b is form (A)
or
8y=-2x+4b (D)
or
1/4x+y=b
or
x+4y=4b (C)

we see that option B is wrong

amswer is B

We are asked to determine the equation of the line that is perpendicular to line y = 4x + 1. in this case, the slope is equal to 4. hence the perpendicular should be equal to the negative reciprocal of the slope. the slope of the perpendiculr line should be -1/4. The possible equations could be A, C and D. hence answer is B