Answer: The correct option is
(B) [tex]\dfrac{1}{3}.[/tex]
Step-by-step explanation: We are given to find the slope of the line shown on the graph.
We note that
the line on the graph passes through the points (3, -4) and (6, -3).
The slope of a straight 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{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.[/tex]
Thus, the required slope of the line is [tex]\dfrac{1}{3}.[/tex]
Option (B) is CORRECT.
