Parallel lines have the same slope so for the new line we know m=-7 and the point (-4,6) we will substitute this info into our line to solve for b the y intercept.
Y=-7x+b (6)=-7(-4)+b 6=28+b 6-28=28-28+b -22=b
Now we put it all together using the slope m=-7 and the y intercept of -22 Y=-7x-22