Question

what is the slope of this line?

Explanation:

Step1: Recall the 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

From the graph, we have two points: \((-7, 2)\) and \((0, -2)\). Let \((x_1, y_1)=(-7, 2)\) and \((x_2, y_2)=(0, -2)\).

Step3: Substitute into the slope formula

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

Answer:

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