Question

What is the rate of change for the set of ordered pairs (-3,19),(-1,11),(1,3),(3,-5)

Answer 1

-4

Explanation:

The rate of change equation for a linear function is

`m=(y_(2)-y_(1) )/(x_(2)-x_(1)  ) =(rise)/(run)`.

We select two points to represent
`(x_(1) ,y_(1))` and
`(x_(2) , y_(2) )`. I'm choosing (-3,19) & (-1,11). So
`x_(1)=-3\\y_(1)=19` and
`x_(2)=-1\\y_(2)=11`.

`m=(11-19)/(-1-(-3)) =(-8)/(-1+3) =(-8)/(2) =-4`