Question

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

Answer 1

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

Answer 2

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