Question

what is the slope of this line
no slope
4
zero
1/4

Explanation:

Step1: Recall Slope Formula

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

Step2: Analyze the Line's Direction

The line in the graph is horizontal (parallel to the x - axis). For a horizontal line, the \( y \) - coordinates of all points on the line are the same. Let's take two points on the line, say \( (x_1,y) \) and \( (x_2,y) \). Then \( y_2 - y_1=y - y = 0 \), and \( x_2 - x_1
eq0 \) (since it's a non - vertical line). So \( m=\frac{0}{x_2 - x_1}=0 \). A horizontal line has a slope of zero, while a vertical line has "no slope" (undefined slope).

Answer:

Zero (corresponding to the option labeled "Zero")