Question

Which of the following system of equations could be perpendicular? Select all that apply.
Responses
y = 3x + 2 and y = 3x + 4
y = 3x + 2 and y = 3x + 4
y =
3x + 4 and y = 1/3

x
-2
y = negative 3x + 4 and y = 1 third x negative 2
y =

x + 5 and y = 4x + 3
y = 1 fourth x + 5 and y = 4x + 3
y =

x + 5 and y = 4x
3
y = negative 1 fourth x + 5 and y = 4x negative 3
y = -3x + 6 and y = 3x + 2
y = -3x + 6 and y = 3x + 2
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Answer 1

Perpendicular pairs:
- y = -3x + 4 and y = (1/3)x - 2 (slopes -3 and 1/3; (-3)(1/3) = -1)
- y = -1/4 x + 5 and y = 4x - 3 (slopes -1/4 and 4; (-1/4)(4) = -1)

The other pairs are not perpendicular (their slopes are not negative reciprocals).