Answer:
[tex]y+9=\frac{-5}{12}(x-6)\\[/tex]
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})\\y+9=m(x-6)\\m=\frac{-9-(-4)}{6-(-6)}=\frac{-5}{12}\\y+9=\frac{-5}{12}(x-6)\\[/tex]