Question

The table represents some points on the graph of a linear function.

х
y
-2
12
0
3
3
-10.5
7.
-28.5
What is the rate of change of y with respect to x for this function?

Answer 1

B.
`-(9)/(2)`

Explanation:

Rate of change of y with respect to x, can be calculated using any two of the pairs of values of the table, say, (-2, 12) and (0, 3).

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

Let,

`(-2, 12) = (x_1, y_1)`

`(0, 3) = (x_2, y_2)`

Plug in the values

Rate of change =
`(3 - 12)/(0 - (-2)) = (-9)/(2) = -(9)/(2)`