Question

The table shows a linear relationship between x and y.

х
у
-20
96
-12
60
-6
33
-2
15
What is the rate of change of y with respect to x?

Answer 1

`-(9)/(2)`

Explanation:

Rate of change of x and y can be calculated using the following formula and using any two given pair of values from the table:

Rate of change =
`(y_2 - y_1)/(x_2 - x_1)`

Using (-12, 60) and (-6, 33).

Where,

`(-12, 60) = (x_1, y_1)`

`(-6, 33) = (x_2, y_2)`

Plug is the values

Rate of change =
`(33 - 60)/(-6 -(-12))`

Rate of change =
`(-27)/(6)`

Simplify

Rate of change =
`(-9)/(2)`

Rate of change =
`-(9)/(2)`