y = -6x/5 + b plug in the point (-5,-2) to solve for b
-2 = -(6)(-5)/5 + b
b = -2 -6 = - 8
y =-6x/5 - 8 is the line with slope -6/5 through the point (-5,-2)
or you could start with a slope = slope type equation, in point slope form
(y+2)/(x+5) = -6/5 multiply both sides by x+5
y+2 = -6x/5 - 6 subtract 2 from both sides
y = -6x/5 - 8
if you want multiply by 5 to get
5y =-6x - 40
6x + 5y = -40