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Given the equation -4x+y= 8, find the slope of the line parallel to the line and the slope of the line perpendicular to the line.
A. Parallel = 1/4 prependicular = 1/4
B. Parallel = -4 perpendicular = -4
C. Parallel = 4 perpendicular = -1/4
D. None of these

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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

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