Answer:
D. y+5 = -2(x+4)
Step-by-step explanation:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
The equation above is point-slope form where x1 and y1 both are the point that the graph passes through ane m is slope as usual.
We are given the point (-4,-5) and slope of -2. We substitute these values in.
[tex] \large{y - ( - 5) = - 2(x - ( - 4))} \\ \large{y + 5 = - 2(x + 4)}[/tex]
