from reading the graph, there are different ways to solve it.  Fist find two "pretty points"  that intersect on a line.
like (2,2) and (6,1)
 Then find the difference
     (2,2)                for 2 to get to 6 is -4
     (6,1)                for 2 to get to 1 is -1
then change of y over the change of x :    1 over -4    which is 1/-4
so the slope is 1/-4  
Second one: 
(4,-3)  4 get to 5, 1  
(5,1)   -3 get to 1, 4
change of y over change of x : 1 over 4,  1/4
m= 1/4