Answer: The correct option is
(B) [tex]\dfrac{1}{6}.[/tex]
Step-by-step explanation: We are given to find the slope of the straight line shown in the graph.
From the graph, we see that the line passes through the points (-6, 3) and (12, 6).
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{6-3}{12-(-6)}=\dfrac{3}{12+6}=\dfrac{3}{18}=\dfrac{1}{6}.[/tex]
Thus, the slope of the given line is [tex]\dfrac{1}{6}.[/tex]
Option (B) is CORRECT.
