Describe how to create the graph of the direct-variation relationship "y varies directly with x where y=-8.4 when x=4 ."

Answer:
Plot the graph of y=2.1x.
Explanation:
If y varies directly as x, we have the equation of variation as:
[tex]\begin{gathered} y=kx \\ k\text{ is the constant of proportion} \end{gathered}[/tex]When x=-4 and y=-8.4
[tex]\begin{gathered} -8.4=-4k \\ k=-\frac{8.4}{-4} \\ k=2.1 \end{gathered}[/tex]Substituting k back into the equation above, we have:
[tex]y=2.1x[/tex]So, to create the required graph, simply plot the graph of y=2.1x.