Question

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

Answer 1

Answer:

Rate of change of y is $- \frac{4}{9}$

Step-by-step explanation:

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