Question

what is the slope of this line? the coordinate grid has a line passing through points (-6, 6), (-3, 5) and others. the options are \\(\frac{1}{3}\\), \\(-\frac{1}{3}\\), 0, undefined.

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 \((x_1, y_1) = (-6, 6)\) and \((x_2, y_2) = (-3, 5)\).

Step3: Substitute into formula

\( m = \frac{5 - 6}{-3 - (-6)} = \frac{-1}{3} = -\frac{1}{3} \).

Answer:

\(-\frac{1}{3}\) (corresponding to the option with \(-\frac{1}{3}\))