Question

what is the slope of the linear function described in this table? slope formula m = (y2 - y1)/(x2 - x1) input (x) 0 1 2 3 output (y) 8 5 2 -1 m = 3; m = -1/3; m = -3; m = 1/3

Explanation:

Step1: Select two points

Choose two points from the table, e.g., \((x_1, y_1) = (0, 8)\) and \((x_2, y_2) = (1, 5)\).

Step2: Apply slope formula

Use \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute values: \(m=\frac{5 - 8}{1 - 0}=\frac{-3}{1}=-3\).

Answer:

\(m = -3\) (corresponding to the option with \(m=-3\))