The required slope of the graph exists 4.
Slope of the graph
The graph exists in a straight line.
The line passes through the points (0, -3) and [tex]$\left(\frac{3}{4}, 0\right)$[/tex].
We know the slope of a straight line passing through the points (a, b) and (c, d) is given by
[tex]$m=\frac{d-b}{c-a} .$[/tex]
Therefore, the slope of the given line is
[tex]$m=\frac{0-(-3)}{\frac{3}{4}-0}$[/tex]
[tex]${data-answer}amp;\Rightarrow m=\frac{3}{\frac{3}{4}} \\[/tex]
[tex]${data-answer}amp;\Rightarrow m=3 \times \frac{4}{3}\end{aligned}$[/tex]
[tex]$\Rightarrow m=4 \text {. }$[/tex]
The required slope of the graph exists 4.
Therefore, the correct answer is option D. 4
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