Answer :

luana
[tex]x-2y=6\\ -2y=-x+6\\ y=\frac{1}{2}x-3\\\\equation\ of\ line\ parallel\ to \given \one \\\\y=ax+b\\\\ If\ line\ is\ parallel\ a=\frac{1}{2}\\\\y=\frac{1}{2}x+b\\\\ Substituting\ point\ (-2,4)\\\\ 4=-2*\frac{1}{2}+b\\4=-1+b\\b=5\\\\ Equation\ of\ line\ y=\frac{1}{2}x+5\\\\ Standard form:\\ -\frac{1}{2}x+y=5[/tex]