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

Answer:

B. $-\frac{9}{2}$

Step-by-step 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 = $\frac{y_2 - y_1}{x_2 - x_1}$

Let,

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

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

Plug in the values

Rate of change = $\frac{3 - 12}{0 - (-2)} = \frac{-9}{2} = -\frac{9}{2}$