Let's plug-in the negative values of the coordinates and see which of the following straight line does have those.
Let's take each statement one by one.
A. y = x + 2
=> –|y| = –|x| + 2 => |x| – |y| = 2. This is possible. Not the correct answer.
B. 3y = 4x - 2
=> –|3y| = –|4x| – 2 => |4x| – |3y| = –2. This is possible. Not the correct answer.
C. x + y = 2
=> –|x| –|y| = 2. This is NOT possible as the addition of two negative values cannot be positive. Correct answer.
D. 3y - 4x = 2
Though we got the answer, let's see this option to better understand.
=> –|3y| + |4x| = 2. This is possible. Not the correct answer.
E. x - y = 2
=> –|x| + |y| = 2. This is possible. Not the correct answer.
The correct answer: C
Hope this helps!
-Jay
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