Question

what is the slope of this line? the line passes through points (-7, 2) and (0, -2) on a coordinate grid.

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 the two points

We have two points: \((-7, 2)\) (so \( x_1=-7, y_1 = 2 \)) and \((0, -2)\) (so \( x_2 = 0, y_2=-2 \)).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-2 - 2}{0 - (-7)}=\frac{-4}{7}=-\frac{4}{7} \).

Answer:

\(-\frac{4}{7}\)