A line goes through the points (-3,-6) and (6,9). Find the slope

Slope = 5/3

m =  5/3

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c