As given by the question
There are given that the slope and point.
[tex]\begin{gathered} \text{slope(m)}=-2 \\ Point\colon\text{ (x, y)=(-3, -8)} \end{gathered}[/tex]
Now,
From the formula of point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where,
[tex]x_1=-3,y_1=-8,\text{ m=-2}[/tex]
Then,
Put all values into the above formula:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-(-8)_{}=-2(x-(-3)_{}) \\ y+8=-2(x+3) \end{gathered}[/tex]
So,
The equation of a line is y+8=-2(x+3).
Hence, the correct option is B.
