Answer:
[tex]y=-2x-2[/tex]
Step-by-step explanation:
The equation of the line with the slope [tex]m[/tex] passing trough the point [tex](x_1,y_1)[/tex] is
[tex]y-y_1=m(x-x_1)[/tex]
In your case, the slope of the line is [tex]m=-2[/tex] and line is passing through the point [tex](-1,0),[/tex] then
[tex]m=-2,\\ \\x_1=-1\\ \\y_1=0[/tex]
Substitute these values into the equation above:
[tex]y-0=-2(x-(-1))\\ \\y=-2(x+1)\\ \\y=-2x-2[/tex]