Answer
$y=\frac{1}{2}x$
$\:$
$ $
Work Step by Step
$y=\frac{1}{2}(x+1)+5$
Moving the graph down by $\ 5\ $ units will change the $\ y\ \rightarrow\ y+5$. And moving it to the right by $\ 1 \ $ unit will change the $\ x\ \rightarrow\ x-1.$
So the equation of the shifted graph would be:
$y+5=\frac{1}{2}((x-1)+1)+5$
$y=\frac{1}{2}(x-1+1)$
$y=\frac{1}{2}x$
