Answer:
C. Parallel = 4 perpendicular = -1/4
Step-by-step explanation:
Given equation is
-4x + y = 8
Convert this to slope-intercept form y=mx + b
-4x + y = 8
⇒ y = 8 + 4x
⇒ y = 4x + 8
So slope = 4, y-intercept, b = 8
All parallel lines will have the same slope, 4
=> Eliminate choices A and B
All perpendicular lines will have a slope = -1/4.
(The slope of a line perpendicular to y = mx + b is - 1/m)
Hence correct answer choice:
C. Parallel = 4 perpendicular = -1/4