Given data:
The slope of the equation, m =9
The point from where the line is passing through is (-4,-6).
Subject: Find the point slope of the equation.
The point slope of the equation is given as follows.
[tex](y-y_1)=m(x-x_1)[/tex]
Substitute the value and solve as,
[tex]\begin{gathered} (y-(-6))=9(x-(-4)) \\ y+6=9(x+4) \end{gathered}[/tex]
Therefore the point slope equation is y+6 = 9(x+4).
Hence the correct option is (y+6) = 9(x+4).
