Answer:
[tex]y = - 3x + 27[/tex]
Step-by-step explanation:
The standard form for the equation of the line is
[tex]y = mx + c[/tex]
Recall that:
[tex]y = 0 \: \: \: x = 9 \: \: \: m = - 3 \\ y = mx + c \\ 0 = - 3(9) + c \\ 0 = - 27+ c \\ 27 = c[/tex]
Therefore the equation of the line is:
[tex]y = mx + c \\ y = - 3x + 27[/tex]