Respuesta :

Answer:

y = -4x + 10

Explanation:

The rate of change of a linear function is constant.

Looking at the answer choices we see that the only linear function given is y = -4x + 10 - other functions are non-linear; therefore, the correct answer choice is the first option: y = -4x + 10.

We can confirm our answer by taking the derivative of y = -4x + 10

[tex]\frac{dy}{dx}=\frac{d(-4x+10)}{dx}[/tex][tex]=-4\frac{dx}{dx}+\frac{d10}{dx}[/tex][tex]=-4[/tex]

which is a constant!