Answer
$y=-\dfrac{1}{2}x+4$
Work Step by Step
The two equations would be perpendicular. Pick two points of the graph $(3,3)$ and $(5,7)$ to find the slope of the graph is $2$. Therefore the slope of the new equation would be $-\dfrac{1}{2}$ because that's the opposite reciprocal of the slope of the graph.
Plug into slope form:
$y=mx+b$
$y=-\dfrac{1}{2}+4$