Question

The table shows a linear relationship between x and y.096-1260-633-215What is the rate of change of y with respect to x?

Answer 1

For this case we have the following info given

x y

-20 96

-12 60

-6 33

-2 15

And we want to estimate the rate of change

Solution

For this case we can use the following formula:

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

And we can use x1= -20 y1= 96

x2= -12, y2= 60

And if we replace into the formula we got:

m= (60-96)/( -12+20)

m= -36/8

And if we simplify we got:

m=-9/2