Answer
$y \leq -x+6$
Work Step by Step
Using the intercepts $(6,0), (0,6)$, we compute the slope $m$.
$m=\dfrac{6-0}{0-6}=-1$
The slope-intercept form is: $y-0=-(x-6)$
or, $y=-x+6$
So, our correct inequality describing the region is:
$y \leq -x+6$
