Standard form:
[tex]Ax+By=C[/tex]
We have
[tex]y-2=-\dfrac{1}{2}(x+4)[/tex] multiply both sides by 2
[tex]2y-4=-1(x+4)[/tex]
[tex]2y-4=-x-4[/tex] add 4 to both sides
[tex]2y=-x[/tex] add x to both sides
[tex]x+2y=0[/tex]