[tex]Standard\ form:Ax+By=C\\\\y+2=\frac{2}{3}(x+4)\ \ \ \ |multiply\ both\ sides\ by\ 3\\\\3y+6=2(x+4)\\3y+6=2(x)+2(4)\\3y+6=2x+8 \ \ \ |subtract\ 6\ from\ both\ sides\\3y=2x+2\ \ \ \ |subtract\ 2x\ from\ both\ sides\\-2x+3y=2\ \ \ \ \ |change\ the\ signs\\\boxed{2x-3y=-2}[/tex]