Answer :

[tex]y+7=\frac{1}{2}(x+2)\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\2y+14=x+2\ \ \ \ |subtract\ x\ and\ 2\ from\ both\ sides\\\\-x+2y+14-2=0\\\\-x+2y+12=0\ \ \ \ \ |change\ signs\\\\\boxed{x-2y-12=0}[/tex]