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: \((-5, -1)\) and \((-2, 2)\) (we can also use other points like \((-4, 0)\) and \((0, 4)\), but let's use \((-5, -1)\) and \((-2, 2)\) for this calculation).

Step2: Use the slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
Substituting \(x_1 = -5\), \(y_1 = -1\), \(x_2 = -2\), and \(y_2 = 2\) into the formula:
\(m=\frac{2 - (-1)}{-2 - (-5)}=\frac{2 + 1}{-2 + 5}=\frac{3}{3} = 1\)

Alternatively, using the points \((-4, 0)\) and \((0, 4)\):
\(m=\frac{4 - 0}{0 - (-4)}=\frac{4}{4}=1\)

Answer:

\(1\)