Question

The table shows a linear relationship between x and y.

Answer 1

Answer:

$-\frac{9}{2}$

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

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 = $\frac{33 - 60}{-6 -(-12)}$

Rate of change = $\frac{-27}{6}$

Simplify

Rate of change = $\frac{-9}{2}$

Rate of change = $-\frac{9}{2}$