Question

What is the equation of the line, in general form, that passes through the point (-1, -1) and is parallel to the line whose equation is x + y = 3?

Answer 1

Answer: x+y = -2

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Anything parallel to x+y = 3 is in the form x+y = C where C is a constant
Plug in (x,y) = (-1,-1) to find C
x+y = C
-1+(-1) = C
-2 = C
C = -2

That's why the equation of the parallel line is x+y = -2