You will use the formula y-y1=m(x-x1)
You know y1=2 and x1= -4 and m= 1/5.
So y-2=1/5(x+4)
y=1/5x + 14/5.
Get rid of the fractions and rearrange so x and y are on the same side.
5y-x=14. I don't see that on your answers, but I'm fairly certain I did everything right.