Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

From the graph, we can identify two points on the line: \((-1, 4)\) and \((0, -1)\).

Step2: Use the slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. Let \((x_1, y_1) = (-1, 4)\) and \((x_2, y_2) = (0, -1)\).

Substitute the values into the formula:

$$ m = \frac{-1 - 4}{0 - (-1)} = \frac{-5}{1} = -5 $$

Answer:

The slope of the line is \(-5\).