Question

5 find the slope of the line that passes through the points in the table. x 1 3 5 7 y 8 14 20 26 m =

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Choose two points from table

Let's take \((x_1, y_1) = (1, 8)\) and \((x_2, y_2) = (3, 14)\).

Step3: Substitute into formula

Substitute values: \( m = \frac{14 - 8}{3 - 1} = \frac{6}{2} = 3 \).
We can check with another pair, e.g., \((3,14)\) and \((5,20)\): \( \frac{20 - 14}{5 - 3} = \frac{6}{2} = 3 \), same result.

Answer:

\( 3 \)