ANSWER
[tex]x + y + 2 = 0[/tex]
EXPLANATION
The given line passes through;
(-1,-1) and it is parallel to x + y = 3.
This line given to us can be rewritten as
y=-x+1
It has slope m=-1.
The line parallel to this line also has slope m=-1.
We obtain the equation of the line using the formula:
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the slope and the point to obtain:
[tex]y - - 1 = - 1(x - - 1)[/tex]
[tex]y + 1 = - 1(x + 1)[/tex]
[tex]y = - x - 1 - 1[/tex]
The equation of the line is
[tex]x + y + 2 = 0[/tex]
