Question

using the graph, determine the value of the slope. what is the slope? options: -3, 0, 3, no slope. graph: coordinate plane with x - axis, y - axis, grid, and a horizontal red line.

Explanation:

Step1: Recall slope formula

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

Step2: Analyze the graph

The graph is a horizontal line. For any two points on a horizontal line, the \( y \)-coordinates are equal (e.g., take two points \((0, - 3)\) and \((2, - 3)\)). So \( y_2 - y_1=-3-(-3) = 0 \), and \( x_2 - x_1=2 - 0 = 2 \).

Step3: Calculate slope

Substitute into the slope formula: \( m=\frac{0}{2}=0 \).

Answer:

0