The parallel line to 8x + 2y = 12 is:
8x + 2y = 0
Which line is parallel to the given one?
Two lines in standard form:
A*x + B*y = C
A'*x + B'*y = C'
Are parallel only if:
A = A', B= B', and C ≠ C'
So a line parallel to 8x + 2y = 12
Can be written as:
8x + 2y = C
where C≠ 12
From the options the correct one is:
8x + 2y = 0
Complete question:
"Which line is parallel to the line 8x + 2y = 12?
4x + 2y = 12
4x + y = 6
4x + 2y = 0"