Find an equation of the line that satisifes the given conditions.
(30 points).

First, set up the equation using the point-slope formula  (y-y1)=m(x-x1). 
y1=-4   x1=-3   m=-7/2 
(y+4)=-7/2(x+3) 

Second, distribute -7/2. 
(y+4)=(-7/2)x - 21/2

Third, subtract 4 from both sides. 
(y+4)=(-7/2)x - 21/2
  -4                -4 

y=(-7/2)x - 29/2