Answer: The correct option is (A) 4.
Step-by-step explanation: We are given to find the slope of the graph shown in the figure.
We can see that the graph is a straight line.
Also, the line passes through the points [tex](0,-3)[/tex] and [tex]\left(\dfrac{3}{4},0\right).[/tex]
We know 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{0-(-3)}{\frac{3}{4}-0}\\\\\\\Rightarrow m=\dfrac{3}{\frac{3}{4}}\\\\\\\Rightarrow m=3\times\dfrac{4}{3}\\\\\\\Rightarrow m=4.[/tex]
Thus, the required slope of the graph is 4.
Option (A) is correct.
