Question

what is the slope of the linear function described in this table? slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ \

$$\begin{tabular}{|c|c|c|c|c|} \\hline input (x) & 0 & 3 & 6 & 9 \\\\ \\hline output (y) & 1 & 2 & 3 & 4 \\\\ \\hline \\end{tabular}$$

$m = -1/3$ $m = 3$ $m = 1/3$ $m = -3$

Explanation:

Step1: Select two points

Choose two points from the table, e.g., \((x_1, y_1) = (0, 1)\) and \((x_2, y_2) = (3, 2)\).

Step2: Apply slope formula

Use \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substitute values: \(m = \frac{2 - 1}{3 - 0} = \frac{1}{3}\).

Answer:

\(m = \frac{1}{3}\) (corresponding to the option with \(m = 1/3\))