Question 817494
First find the slope by solving for y
5x+2y=-39
Subtract 5x from each side
   2y = -5x -39
Divide each side by 2
    y = -5x/2 -39/2
    y = (-5/2)x -39/2
Use the template y = mx + b and the point (-9,-2)
    -2 = (-5/2)(-9) + b
    -2 = 45/2 + b
Subtract 45/2 from each side
    -2 -45/2 = b
    -4/2 -45/2 = b
    -49/2 = b
So our equation is
    {{{y = (-5/2)x -49/2}}}