Rewrite the equation: 2y=x-6, y=x/2-3, so slope is 1/2 which is also the slope of the parallel line. It will have the equation y=x/2+a where a is found by plugging in the given point: 4=-1+a, so a=5. Therefore y=x/2+5. (This can also be written 2y=x+10 or x-2y+10=0)