Answer
(a) slope $m=-\frac{2}{3}$, y-intercept $b=4$.
(b) See graph.
(c) $-\frac{2}{3}$.
(d) decreasing.
Work Step by Step
(a) Given $y=-\frac{2}{3}x+4$, we can determine the slope $m=-\frac{2}{3}$, y-intercept $b=4$.
(b) Start from $(0,4)$, move 2 units to the right, then 2 units down to reach $(2,2)$, connect the points. See graph.
(c) The average rate of change is the same as the slope, thus $R=m=-\frac{2}{3}$.
(d) The linear function is decreasing.
