1)The path is from (0,6) to (7,0).
This is the equation,
And it goes from .
Thus, the line integral is,
Now you can compute it.
Are you sure there is supposed to be a four? It seems it is asking for path independence, but the cross pratials test does not work if there is not four.
To have path indepence (what it seems)
It is necessary and suffienct for,
But that is not work here.
Thus, what is the path? A straight line?