## Algebra and Trigonometry 10th Edition

$y \leq -x+6$
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: $y \leq -x+6$