Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

From the graph, we can see two clear points: \((-4, 2)\) and \((3, -3)\). Let's denote \((x_1, y_1) = (-4, 2)\) and \((x_2, y_2) = (3, -3)\).

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:

$$ m = \frac{y_2 - y_1}{x_2 - x_1} $$

Substitute the values of the points into the formula:

$$ m = \frac{-3 - 2}{3 - (-4)} = \frac{-5}{3 + 4} = \frac{-5}{7} $$

Answer:

\(-\frac{5}{7}\)