Respuesta :

the given equation is

[tex]y=-\frac{5}{2}x-5[/tex]

we will solve further

[tex]2y=-5x-10[/tex]

then we will differentiate the equation with respect to x

[tex]\begin{gathered} 2\frac{dy}{dx}=-5-0 \\ \frac{dy}{dx}=-\frac{5}{2} \end{gathered}[/tex]

so the rate of change is -5/2.

or we can compare the given equation with the standard equation

[tex]y=mx+c[/tex]

here, m represent the rate of change,

so the rate of change is -5/2.

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