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.
2003-10-04-00-00_files/i0160000.jpg
B.
x – 4y = –2
C.
x + 4y = 2
D.
8y = –2x – 5

Answer 1

B

Explanation:

Answer 2

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)