The problem asks us to find the slope of line $\overline{AB}$ where the line has the symbol indicating that it is a horizontal line.

GeometrySlopeLinesHorizontal LinesCoordinate Geometry
2025/4/27

1. Problem Description

The problem asks us to find the slope of line AB\overline{AB} where the line has the symbol indicating that it is a horizontal line.

2. Solution Steps

A horizontal line has a slope of zero. This is because the change in the y-coordinate is always zero. The slope mm is defined as the change in y divided by the change in x:
m=ΔyΔxm = \frac{\Delta y}{\Delta x}
For a horizontal line, Δy=0\Delta y = 0. Therefore, m=0Δx=0m = \frac{0}{\Delta x} = 0.

3. Final Answer

The slope of the line is 0.

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