Question 713823
The general equation of a line in point slope form 
(y-y1)=m(x-x1) where (x1,y1) are the co-ordinates of the point and m is the slope

So
(y-5)=(-2/9) (x-2)

multiply equation by 9

9(y-5)= -2(x-2)

9y-45=-2x+4

9y= 2x+4+45

9y=2x+49

/9
y=(2/9)x +(49/9) ---- the required equation