Question

-

Answer 1

Yes, the slope is correct, y'(-1)=7, and the line is correct as well.

Using the point-slope form for the tangent line:
(y-y0)=m(x-x0) where m=7, (x0,y0)=(-1,-9)
so
(y-(-9))=7(x-(-1))
y+9=7x+7
therefre
y=7x-2

Answer 2

thank you!