Given:
The graph of a line which represents position (m) at time (s).
To find:
The slope of the line.
Solution:
Formula for slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that the line passes through two points (0,0) and (1,4).
Using the above formula, we get
[tex]m=\dfrac{4-0}{1-0}[/tex]
[tex]m=\dfrac{4}{1}[/tex]
[tex]m=4[/tex]
Therefore, the slope of the line is 4 m/s.