Answer: B) neither
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Let's isolate y in the first equation. This way we can find the slope.
x-2y = 4
-2y = 4-x
-2y = -x+4
y = (-x+4)/(-2)
y = -x/(-2) + 4/(-2)
y = (1/2)x - 2
This matches with y = mx+b form with m = 1/2 being the slope.
The slope of y = 2x-2 is m = 2
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The slope of the first line is 1/2 and the slope of the second line is 2.
Since the two slopes (1/2 and 2) are not equal, this means the lines are not parallel.
Also, the two slopes do not multiply to -1, so the lines aren't perpendicular either.
This leads to B) neither as the final answer.