Question

The graph of the linear function y=f(x) passes through the points (1,2) and (5,-1). What is the rate of change of y with respect to x?

Answer 1

Answer: The graph of a linear function passes through the points (- 3, - 6) and (- 7, 2) What is the rate of change of the function?

Step-by-step explanation: can someone pls answer this question quick

Answer 2

The rate of change is
`-(3)/(4)`

Explanation:

we know that

The rate of change of y with respect to x is equal to the slope of the linear equation

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

`A(1,2)\ B(5,-1)`

Substitute the values

`m=(-1-2)/(5-1)`

`m=-(3)/(4)`