Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

From the graph, we can identify two points: \((1, 3)\) and \((4, -1)\).

Step2: Use the slope formula

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Substituting \(x_1 = 1\), \(y_1 = 3\), \(x_2 = 4\), and \(y_2 = -1\) into the formula:

\(m=\frac{-1 - 3}{4 - 1}=\frac{-4}{3}=-\frac{4}{3}\)

Answer:

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