Question

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

$$\begin{tabular}{|c|c|c|c|c|} \\hline input (x) & 0 & 1 & 2 & 3 \\\\ \\hline output (y) & 7 & 6 & 5 & 4 \\\\ \\hline \\end{tabular}$$

$m = 1$ $m = 2$ $m = -1$ $m = -1/2$

Explanation:

Step1: Choose two points from the table

Let's take the first two points: \((x_1, y_1) = (0, 7)\) and \((x_2, y_2) = (1, 6)\).

Step2: Apply the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute the values: \(m=\frac{6 - 7}{1 - 0}=\frac{-1}{1}=-1\).

Answer:

\(m = -1\) (corresponding to the option with \(m=-1\))