the graph shows the distance jeffery is from a water fountain after a certain amout of time. fid and intercept the rate of change and the initial value

The rate of change is the slope of the function:
Apply the slope formula (m):
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Replacing by 2 points on the graph:
[tex]m=\frac{10-8}{4-3}=\frac{2}{1}=2[/tex]The slope is the speed of Jeffrey.
Initial value is (3,8), where he starts