Question

find the slope of the line graphed below

Explanation:

Step1: Identify two points

From the graph, two points on the line are \((-2, -2)\) and \((2, -5)\).

Step2: Use slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1 = -2\), \(y_1 = -2\), \(x_2 = 2\), \(y_2 = -5\) into the formula:
\(m = \frac{-5 - (-2)}{2 - (-2)} = \frac{-5 + 2}{2 + 2} = \frac{-3}{4}\)

Answer:

\(-\frac{3}{4}\)