To find the answer to this question, all we need to do is use the slope formula! 
Slope formula: 
 
(-4, -4) is 

and
(2,5) is 

Now lets plug in the points 

solve this simple subtraction problem!
5 - (-4) = 9 
2 - (-4) = 6
Now we have : 

Let's simplify since 9 and 6 both have a common factor of 3 
Your final answer is... 
The slope of the line passing through the points is 
 !!
I hope I helped !