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.
![(y-y_1)=m(x-x_1)](https://img.qammunity.org/2023/formulas/mathematics/college/o63i8xgnd6kg243wy80nedsqxt0ilntmz1.png)
Substitute the value and solve as,
![\begin{gathered} (y-(-6))=9(x-(-4)) \\ y+6=9(x+4) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/eie68h24oadslg8j9z9bu3v0l8al2qfjbq.png)
Therefore the point slope equation is y+6 = 9(x+4).
Hence the correct option is (y+6) = 9(x+4).