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) 1 2 3 4 options: m = 1/3, m = 3, m = -3, m = -1/3

Explanation:

Step1: Choose two points from the table

Let's take the first two points: \((x_1, y_1) = (0, 1)\) and \((x_2, y_2) = (3, 2)\).

Step2: Apply the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute the values: \(m=\frac{2 - 1}{3 - 0}\).

Step3: Simplify the expression

Simplify the numerator and denominator: \(m=\frac{1}{3}\).

Answer:

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