Answer:
[tex]y = -\frac{1}{2}x -7[/tex]
Step-by-step explanation:
[tex](-2,-6) =(x_1,y_1)\\\\m = -\frac{1}{2}[/tex]
Substitute values into point-slope form
[tex]y-y_1=m(x-x_1)\\\\y -(-6)=-\frac{1}{2} (x -(-2))\\\\y+6 = -\frac{1}{2} (x+2)\\\\y +6 =-\frac{1}{2}x -1\\\\y =-\frac{1}{2}x -1-6\\\\y = -\frac{1}{2}x -7[/tex]
