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What is the equation of the horizontal line through
(-7,-3) ?

What is the equation of the horizontal line through $(-7,-3)$ ?

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Equations of horizontal and vertical lines

Full solution

Q. What is the equation of the horizontal line through

(-7,-3)

?

Identify Horizontal Line: A horizontal line has a constant $y$ -value across all $x$ -values. To find the equation of the horizontal line through a given point, we simply need to set the $y$ -coordinate of the line equal to the $y$ -coordinate of the given point.
Given Point $(-7, -3)$ : The given point is $(-7, -3)$ . Since the line is horizontal, the $y$ -coordinate for every point on the line will be the same as the $y$ -coordinate of the given point, which is $-3$ .
Equation of Horizontal Line: The equation of a horizontal line can be written as $y = k$ , where $k$ is the constant $y$ -value. For our line, $k$ is $-3$ .
Final Equation: Therefore, the equation of the horizontal line through the point $(-7, -3)$ is $y = -3$ .

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