Question

what is the slope of the line that contains the points (-2, 6) and (6, -3)? enter the correct answer in the box. options: \\(\frac{2}{3}\\), 6, \\(-\frac{9}{8}\\), \\(-\frac{8}{9}\\)

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 points

Let \((x_1, y_1)=(-2, 6)\) and \((x_2, y_2)=(6, -3)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-3 - 6}{6 - (-2)}=\frac{-9}{8}=-\frac{9}{8} \).

Answer:

\(-\frac{9}{8}\)