Question

what is the slope of the line that passes through the points (2, -4) and (8, 0)?
$-\frac{3}{2}$ $-\frac{2}{3}$ $\frac{2}{3}$ $\frac{3}{2}$
submit

Explanation:

Step1: Recall slope formula

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

Step2: Identify coordinates

Let \( (x_1, y_1)=(2, - 4) \) and \( (x_2, y_2)=(8, 0) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{0 - (-4)}{8 - 2}=\frac{0 + 4}{6}=\frac{4}{6}=\frac{2}{3} \).

Answer:

\(\frac{2}{3}\) (corresponding to the option with \(\frac{2}{3}\))