Answer :
[tex]y=-4x-9 \\ \\
(x,y)=(-9,27) \\
27=-4 \times (-9)-9 \\
27=36-9 \\
27=27 \\
true \\ \\
(x,y)=(3,-21) \\
-21=-4 \times 3-9 \\
-21=-12-9 \\
-21=-21 \\
true[/tex]
[tex](x,y)=(-6,15) \\ 15=-4 \times (-6)-9 \\ 15=24-9 \\ 15=15 \\ true \\ \\ (x,y)=(5,-28) \\ -28=-4 \times 5-9 \\ -28=-20-9 \\ -28=-29 \\ not \ true[/tex]
D. (5,-28) is not a solution of y=-4x-9.
[tex](x,y)=(-6,15) \\ 15=-4 \times (-6)-9 \\ 15=24-9 \\ 15=15 \\ true \\ \\ (x,y)=(5,-28) \\ -28=-4 \times 5-9 \\ -28=-20-9 \\ -28=-29 \\ not \ true[/tex]
D. (5,-28) is not a solution of y=-4x-9.