Question

which statement best represents the equation of the line shown on the grid and its relationship to the x - axis? the equation of the line is y = 2.5, and the line is perpendicular to the x - axis. the equation of the line is x = 2.5, and the line is perpendicular to the x - axis. the equation of the line is y = 2.5, and the line is parallel to the x - axis. the equation of the line is x = 2.5, and the line is parallel to the x - axis.

Explanation:

Step1: Identify line - type

Horizontal lines have the form $y = c$ (where $c$ is a constant), and vertical lines have the form $x = c$. The given line is horizontal.

Step2: Determine the equation

For a horizontal line passing through a point where $y$ - value is constant. From the graph, the line passes through $y = 2.5$, so the equation is $y=2.5$.

Step3: Analyze the relationship with x - axis

A horizontal line is parallel to the $x$ - axis.

Answer:

The equation of the line is $y = 2.5$, and the line is parallel to the $x$-axis.