galilea92 galilea92
  • 18-01-2022
  • Mathematics
contestada

What is the rate of change of y=-4/9x+5

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Hrishii
Hrishii Hrishii
  • 18-01-2022

Answer:

Rate of change of y is [tex]- \frac{4}{9}[/tex]

Step-by-step explanation:

[tex]y = - \frac{4}{9} x + 5 \\ \\ differentiating \: with \: respect \: to \: x \\ \\ \frac{dy}{dx} = - \frac{4}{9} \frac{d}{dx} x + \frac{d}{dx} 5 \\ \\ \frac{dy}{dx} = - \frac{4}{9} .1 + 0 \\ \\ \huge \red{\frac{dy}{dx} = - \frac{4}{9} } \\ \\ rate \: of \: change \: of \: y =- \frac{4}{9}[/tex]

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