Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the two points

From the graph, the two points are \((-6, -2)\) and \((-1, -2)\). Let \((x_1, y_1) = (-6, -2)\) and \((x_2, y_2) = (-1, -2)\).

Step3: Substitute into slope formula

Substitute the values into the formula: \( m = \frac{-2 - (-2)}{-1 - (-6)} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \(-2 - (-2) = -2 + 2 = 0\). Simplify the denominator: \(-1 - (-6) = -1 + 6 = 5\). So \( m = \frac{0}{5} = 0 \).

Answer:

\( 0 \)