Question

what is the slope of the linear function described in this table? slope formula m = (y₂ - y₁)/(x₂ - x₁) input (x) 0 3 6 9 output (y) 8 6 4 2 m = -3/2 m = 3 m = -2/3 m = -2

Explanation:

Step1: Select two points

Choose two points from the table, e.g., \((x_1, y_1) = (0, 8)\) and \((x_2, y_2) = (3, 6)\).

Step2: Apply slope formula

Use \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substitute values: \(m = \frac{6 - 8}{3 - 0} = \frac{-2}{3}\).

Answer:

\(m = -\frac{2}{3}\) (corresponding to the option \(m = -2/3\))