Answer
$y=\dfrac{-1}{2}x+4$
Work Step by Step
Need to solve for $y$
we have $4x-2y=8$
or, $8-4x=-2y$
or, $y=2x-4$
Now, consider the equation of perpendicular line to $y=2x-4$
$y-2=\dfrac{-1}{2}(x-4)$
or, $2y-4=-x+4$
or, $2y=-x+4+4$
or, $2y=-x+8$
or, $y=\dfrac{-1}{2}x+4$
