Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

From the graph, we can see two points: \((-4, 2)\) and \((0, -3)\). Let's denote \((x_1, y_1) = (-4, 2)\) and \((x_2, y_2) = (0, -3)\).

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 \(x_1, y_1, x_2,\) and \(y_2\) into the formula:
\[
m = \frac{-3 - 2}{0 - (-4)} = \frac{-5}{4}
\]

Answer:

\(-\frac{5}{4}\)