Answer:
[tex]y = - 3x - 6[/tex]
Step-by-step explanation:
The standard form for the equation of a line is
[tex]y = mx + c[/tex]
(Note that m is the slope)
We were told that:
[tex]y = - 9 \: \: \: x = 1 \: \: \: m = - 3[/tex]
Therefore, the equation of the line is
[tex]y = mx + c \\ - 9 = ( - 3)1 + c \\ - 9 = - 3 + c \\ - 9 + 3 = c \\ - 6 = c[/tex]
Answer:
[tex]y = - 3x -6[/tex]