Question

the rate of change is dropdown
-4
-1
1
4

\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline -2 & 17 \\\\ \\hline -1 & 13 \\\\ \\hline 1 & 5 \\\\ \\hline 2 & 1 \\\\ \\hline 3 & -3 \\\\ \\hline \\end{array}$$

Explanation:

Select two points from the table

$$ (x_1, y_1) = (-2, 17),\quad (x_2, y_2) = (-1, 13) $$

Calculate the rate of change

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{13 - 17}{-1 - (-2)} = \frac{-4}{1} = -4 $$

Answer:

• (A) -4 (Correct answer)
• (B) -1
• (C) 1
• (D) 4