(a) I can only tell you how to draw it since I don't have the necessary software. For exapmle, at (1,1) ,dy/dx = -2 and then you draw a small line segment at (1,1) with slope -2 is OK.
(b) At (1,-1) dy/dx = 2
So, the equation is y + 1 = 2(x - 1)
Sub. x = 1.1, y = -0.8