Question

use the point-slope form of the equation to indentify a piont the passes through and the slope of the line: y+4=-2(x+1)

Answer 1

y-y1=m(x-x1) ---> point slope formula
point that passes through is (x1,y1) and slope is m
therefore your point would be (-1,-4) and the slope m=-2
if you plug this into the general point slope formula you get:
y-(-4)=-2(x-(-1)) which is the same thing as y+4=-2(x+1)