First of all you need to know this:
Y = MX + B Which is the slope equation.
It is read Y equals M, X + B
Meaning (Y = M times X + B)
So in Y = MX + B
You have X and Y cordinates. (4, -11) Which is (X,Y) respectively.
M is the slope you have this also: -2
Plug in your numbers you now have...
Y=MX + B Is now -11 = -2 (4) + B
So...
-11 = -8 + B
You want B by itself. ADD 8 to BOTH sides of the equation.
-11 + 8 = -8 + B + 8
Combine like terms on right. Solve on left.
-3 = B (By the way B is your Y intercept)
From here I think you can choose the correct answer.