Given The graph of a line with a slope of -5
As shown the line pass through the point ( 2 , -8 )
The general point slope form is :
[tex]y-k=m\cdot(x-h)[/tex]
where m is the slope and ( h , k ) the coordinates of the point
so,
[tex]\begin{gathered} m=-5 \\ (h,k)=(2,-8) \\ \\ y-(-8)=-5\cdot(x-2) \\ \\ y+8=-5(x-2) \end{gathered}[/tex]
So, the answer is option D. y + 8 = -5(x-2)
