1) Parallel lines have the same slope. So our new slope has the slope m=1
Looking at the options, we have two options with the same slope. So let's test them x-2y=4 and x+2y=0 plugging in the point to verify
(2,-1)
x+2y=0
-1+2(2) = 0
3 = 0 False
x- 2y =4
2 -2(-1) =4
2+2=4
2) So x -2y =4 and x+2y=0 are parallel to x-2y=6
But only x -2y =4 passes through the point (2,-1)
x-2y=4 is the answer