Answer:
option C
[tex]y=\frac{-2}{3}x-11[/tex]
Step-by-step explanation:
The point slope equation of a line is given by
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x1,y1) is the point on the point
[tex]y + 7 =\frac{-2}{3}(x + 6)[/tex]
We need to write the equation in y=mx+b form
multiply -2/3 inside the parenthesis
[tex]y + 7 =\frac{-2}{3}x-4[/tex]
Subtract 7 from both sides
[tex]y=\frac{-2}{3}x-11[/tex]
