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Is the graph of this equation a horizontal or vertical line? $\newline$ $x = -4$ $\newline$ Choices: $\newline$ (A)horizontal line $\newline$ (B)vertical line

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Equations of horizontal and vertical lines

Full solution

Q. Is the graph of this equation a horizontal or vertical line?

\newline

x = -4

\newline

Choices:

\newline

(A)horizontal line

\newline

(B)vertical line

Analyze Equation: Analyze the equation of the line: $\newline$ The equation given is $x = -4$ . This equation indicates that no matter what the value of $y$ is, the value of $x$ remains constant at $-4$ .
Determine Orientation: Determine the orientation of the line: $\newline$ Since the value of $x$ does not change, but $y$ can be any value, the line is parallel to the $y$ -axis. This means that for every point on the line, $x$ is $-4$ , and $y$ can vary. Therefore, the line does not run horizontally (left to right) but rather vertically (up and down).
Conclusion: Conclusion: $\newline$ The graph of the equation $x = -4$ is a vertical line because it is parallel to the $y$ -axis.

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\newline

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\newline

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