Parallel lines have the same slope so for the new line we m=-2 and the point (2,2) we will substitute this info into our line to solce for b the y intercept.
Y=-2x+b
(2)=-2(2)+b
2=-4+b
2+4=-4+4+b
6=b
Now we put it all together using the slope m=-2 and the y intercept of 6
Y=-2x+6