Explanation:
the slope is always the factor of x, when we have a pure
y = ... form of the line.
but x - 4y = -4 is not yet in that form. we need to transform it first :
x - 4y = -4
-4y = -x - 4
y = x/4 + 1
so the slope is 1/4.
the other line is
y = 4x - 4
the form is right, the slope is 4 or 4/1.
the slopes are different, so the lines are not parallel.
a perpendicular slope turns the original slope upside-down AND flips the sign.
a perpendicular slope to the first 1/4 slope would be
-4/1 = -4
but that is different from the second slope.
so, the lines are not perpendicular.
therefore, yes, the correct answer is C. neither.