Answer: The correct option is (C) [tex]\dfrac{1}{4}.[/tex]
Step-by-step explanation: We are given to find the slope of a line that is parallel to the line shown on the graph.
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]
From the graph, we note that
the line passes through the points (0, -3) and (4, -2).
Therefore, the slope of the line on the graph is
[tex]m=\dfrac{-2-(-3)}{4-0}\\\\\\\Rightarrow m=\dfrac{-2+3}{4}\\\\\\\Rifhtarrow m=\dfrac{1}{4}.[/tex]
Thus, the slope of the line shown on the graph is [tex]\dfrac{1}{4}.[/tex]
Option (C) is CORRECT.
