Answer
(a) slope $m=5$, y-intercept $b=-4$.
(b) See graph.
(c) $5$.
(d) increasing.
Work Step by Step
(a) Given $f(x)=5x-4$, we can determine the slope $m=5$, y-intercept $b=-4$.
(b) Start from $(0,-4)$, move 1 unit to the right, then 5 units up to reach $(1,1)$, connect the points. See graph.
(c) The average rate of change is the same as the slope, thus $R=m=5$.
(d) The linear function is increasing.
