Answer:
neither
Step-by-step explanation:
For two lines to be parallel, their slopes must be equal.
For two lines to be perpendicular, their slopes must have a product of -1. (The only exception is a vertical line and a horizontal line which are perpendicular, but the product of their slopes is not -1.)
When the equation of a line is written in the slope-intercept form,
y = mx + b,
m is the slope.
y = -2x + 4 has a slope of -2.
y = (1/4)x -2 has a slope of 1/4.
Clearly, -2 and 1/4 are not equal, so the lines are not parallel.
Now we find the product of the slopes.
(-2) * (1/4) = -2/4 = -1/2
The product of the slopes does not equal -1, so the lines are not perpendicular.
Answer: neither
