Answer
$\text{(a)}$ $m=0$, $b=-2$.
$\text{(b)}$ Refer to the graph below.
$\text{(c)}$ $0$.
$\text{(d)}$ constant
Work Step by Step
Given $G(x)=-2$, we have:
$\text{(a)}$ Compare with the slope-intercept form $y=mx+b$, we can determine the slope as $m=0$ and $y$-intercept as $b=-2$.
$\text{(b)}$ Start from $(0,-2)$. With a slope of $0$, move $1$ unit right, then stay to reach $(1,-2)$. Complete the graph by connecting the two points using a straight line. Refer to the graph below.
$\text{(c)}$ The average rate of change $R$ is the slope in this case, thus $R=m=0$.
$\text{(d)}$ We can see that the linear function is a constant.