Answer
(a) slope $m=2$, y-intercept $b=3$.
(b) See graph.
(c) $2$.
(d) increasing.
Work Step by Step
(a) Given $f(x)=2x+3$, we can determine the slope $m=2$, y-intercept $b=3$.
(b) Start from $(0,3)$, move 1 unit to the right, then 2 units up to reach $(1,5)$, connect the points. See graph.
(c) The average rate of change is the same as the slope, thus $R=m=2$.
(d) The linear function is increasing.
