Answer: The required slope of the given line is [tex]\dfrac{2}{3}.[/tex]
Step-by-step explanation: We are given to find the slope of the line shown on the co-ordinate grid.
From the graph, we note that the line passes through the points (-2, 0) and (1, 2).
We know that
the slope of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{2-0}{1-(-2)}=\dfrac{2}{1+2}=\dfrac{2}{3}.[/tex]
Thus, the required slope of the given line is [tex]\dfrac{2}{3}.[/tex]
