What type of line is y-7=0 Vertical Line Horizontal Line Neither

Analyze the equation: Analyze the equation. The equation given is y - 7 = 0. To understand what type of line this represents, we need to simplify the equation. By adding 7 to both sides of the equation, we get y = 7.Determine constant variable: Determine which variable is constant. In the equation y = 7, the y-value is always 7, regardless of the value of x. This means that for any point on the line, the y-coordinate will be 7.Identify line orientation: Identify the orientation of the line. Since the y-value is constant and does not depend on x, the line is horizontal. A horizontal line has the same y-value across all points.Conclude line type: Conclude the type of line. The equation y = 7 represents a horizontal line because the y-value does not change.

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Algebra 1

Equations of horizontal and vertical lines

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Q. What type of line is

y-7=0

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Vertical Line

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Horizontal Line

\newline

Neither

Analyze the equation: Analyze the equation. $\newline$ The equation given is $y - 7 = 0$ . To understand what type of line this represents, we need to simplify the equation. $\newline$ By adding $7$ to both sides of the equation, we get $y = 7$ .
Determine constant variable: Determine which variable is constant. $\newline$ In the equation $y = 7$ , the $y$ -value is always $7$ , regardless of the value of $x$ . This means that for any point on the line, the $y$ -coordinate will be $7$ .
Identify line orientation: Identify the orientation of the line. $\newline$ Since the $y$ -value is constant and does not depend on $x$ , the line is horizontal. A horizontal line has the same $y$ -value across all points.
Conclude line type: Conclude the type of line. $\newline$ The equation $y = 7$ represents a horizontal line because the $y$ -value does not change.