Question

which is the slope of the line that passes through the points (3, 5) and (8, 7)?
slope = -\frac{1}{2}
slope = \frac{5}{2}
slope = \frac{2}{5}
slope = \frac{3}{4}

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: Identify coordinates

Let \((x_1, y_1) = (3, 5)\) and \((x_2, y_2) = (8, 7)\).

Step3: Substitute into formula

\( m = \frac{7 - 5}{8 - 3} = \frac{2}{5} \).

Answer:

slope \( = \frac{2}{5} \) (the option with slope \( = \frac{2}{5} \))