Question

multiple-choice question what is the slope of this line? undefined zero

Explanation:

Step1: Recall slope formula

The slope \( m \) of a line passing through 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: Analyze the line's direction

The line in the graph is horizontal (parallel to the x - axis). For any two points on a horizontal line, the \( y \) - coordinates are equal, i.e., \( y_2=y_1 \).

Step3: Calculate the slope

Substitute \( y_2 = y_1 \) into the slope formula: \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0}{x_2 - x_1}=0 \) (since \( y_2 - y_1 = 0 \) when \( y_2=y_1 \)).

Answer:

Zero