1Cademy - Horizontal Line

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Graph of a Linear Equation in Two Variables

Concept

Horizontal Line

A horizontal line is the graph of a linear equation that contains only the variable $y$ , written in the form $y = b$ . In this equation, the $y$ -value is the constant $b$ and is completely independent of $x$ . Because the $y$ -coordinate remains exactly the same regardless of the chosen $x$ -coordinate, plotting its points produces a straight line that runs perfectly flat from side to side, crossing the $y$ -axis exactly at the point $(0, b)$ . To construct a table of values for a horizontal line, the constant $b$ is substituted for every $y$ -coordinate, while any arbitrary numbers can be chosen for the $x$ -coordinates.