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What is the equation of the horizontal line through
(1,9) ?

What is the equation of the horizontal line through $(1,9)$ ?

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Equations of horizontal and vertical lines

Full solution

Q. What is the equation of the horizontal line through

(1,9)

?

Identify constant $y$ -value: A horizontal line has a constant $y$ -value for all points on the line. Since the line passes through the point $(1,9)$ , the $y$ -value for all points on this line will be $9$ .
General equation for horizontal line: The general equation for a horizontal line is $y = k$ , where $k$ is the constant $y$ -value. For this line, $k = 9$ .
Equation for line through $(1,9)$ : Therefore, the equation of the horizontal line through the point $(1,9)$ is $y = 9$ .

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