You can put this solution on YOUR website! well you can either use point slope formula which is y-y1=m(x-x1) or solve y=mx+b for b and then plug back in.
using point slope formula
y - (-2) = 3/7 (x - (-1))
y+2=3/7(x+1)
y = 3/7x + 3/7 - 2
y = 3/7x + (3/7 - 14/7)
y = 3/7x - 11/7
solving for b
y = mx + b
-2 = 3/7(-1) + b
-2 = -3/7 + b
-14 = = -3 + 7b
-11 = 7b
-11/7 = b