Question

what is the slope of this line? the coordinate grid has a line passing through (-6, 6) and (-3, 5) and other points. the options at the bottom include \\(\frac{1}{3}\\), \\(-\frac{1}{3}\\), 0, etc.

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

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

Answer:

\(-\frac{1}{3}\)