Answer
[tex]y= -x-9[/tex]
Step-by-step explanation:
Line passes through (-6,-3) so it's in the form [tex]y-(-3) = m (x-(-6))[/tex] Now you need to determine m, and, as long as two lines are perpendicular, the product of the two slopes has to be -1. [tex]m \cdot (1) = -1 \rightarrow m = -1[/tex]. The equation becomes [tex]y+3 = -(x+6)[/tex] and the only thing left to do is to write it in a more pleasant way - or just leave it as is as long as you don't have to do anything with it!
