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What is the equation of the horizontal line through
(-4,6) ?

What is the equation of the horizontal line through $(-4,6)$ ?

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Equations of horizontal and vertical lines

Full solution

Q. What is the equation of the horizontal line through

(-4,6)

?

Characteristics of a horizontal line: Understand the characteristics of a horizontal line. $\newline$ A horizontal line has a slope of $0$ because it does not rise or fall as it moves from left to right. This means that for any two points on the line, the $y$ -coordinate will be the same, but the $x$ -coordinate can vary.
Determining the slope of a horizontal line: Determine the slope of the horizontal line. $\newline$ Since the line is horizontal, its slope $m$ is $0$ .
Finding the y-intercept of a horizontal line: Use the point given to find the y-intercept. $\newline$ The line passes through the point $(-4,6)$ . For a horizontal line, the y-coordinate of any point on the line is the same as the y-intercept $(b)$ . Therefore, the y-intercept is $6$ .
Writing the equation of a horizontal line: Write the equation of the horizontal line. $\newline$ The general form of the equation of a line in slope-intercept form is $y = mx + b$ . Since the slope ( $m$ ) is $0$ and the y-intercept ( $b$ ) is $6$ , the equation of the line is $y = 0x + 6$ , which simplifies to $y = 6$ .

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Question

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\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

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Question

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\newline

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\newline

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Question

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