Question

multiple-choice question
to find the average rate of change we will use the slope formula:
$\frac{y_2-y_1}{x_2-x_1}$
plug in the points (1, 0) and (3, 16).
which equation represents the correct plugging in of the values?
$\text{slope} = \frac{3-1}{16-0}$
$\text{slope} = \frac{1-3}{0-16}$
$\text{slope} = \frac{16-3}{0-1}$
$\text{slope} = \frac{16-0}{3-1}$

Explanation:

Step1: Identify point coordinates

Let $(x_1,y_1)=(1,0)$ and $(x_2,y_2)=(3,16)$

Step2: Substitute into slope formula

Substitute values into $\frac{y_2-y_1}{x_2-x_1}$
$$\text{slope}=\frac{16-0}{3-1}$$

Answer:

slope $= \frac{16-0}{3-1}$