Question

zero slope

Explanation:

Step1: Recall Slope Definition

The slope \( m \) of a line is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the line.

Step2: Analyze Zero Slope Line

A line with zero slope is horizontal, meaning \( y_1 = y_2 \) for any two points on it. So \( y_2 - y_1 = 0 \), and thus \( m = \frac{0}{x_2 - x_1} = 0 \) (as long as \( x_2
eq x_1 \)). In the graph, the horizontal line (along x - axis or a horizontal line) has constant \( y \) - value, so slope is zero.

Answer:

A line with zero slope is a horizontal line (e.g., the x - axis or a horizontal line parallel to it) where the \( y \) - coordinate remains constant for all \( x \) - coordinates, and its slope \( m = 0 \) (calculated as \( m=\frac{y_2 - y_1}{x_2 - x_1}\) with \( y_2=y_1\)).