Answer
(a) slope $m=-1$, y-intercept $b=6$.
(b) See graph.
(c) $-1$.
(d) decreasing.
Work Step by Step
(a) Given $h(x)=-x+6$, we can determine the slope $m=-1$, y-intercept $b=6$.
(b) Start from $(0,6)$, move 1 unit to the right, then 1 unit down to reach $(1,5)$, connect the points. See graph.
(c) The average rate of change is the same as the slope, thus $R=m=-1$.
(d) The linear function is decreasing.