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What is an equation of the line that passes through the points \( (2,3) \) and \( (2,7) \) ?

Ask by Hodges Bates. in the United States
Feb 27,2025

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The equation of the line is \( x = 2 \).

Solución

The line passing through the points (2, 3) and (2, 7) is vertical because both points have the same x-coordinate. Vertical lines have equations of the form x = constant. Since the x-coordinate for both points is 2, the equation of the line is: x = 2.

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Beyond the Answer

The line that passes through the points \( (2,3) \) and \( (2,7) \) is a vertical line. Vertical lines are defined by an equation of the form \( x = k \), where \( k \) is the x-coordinate of any point on the line. Since both points share the same x-coordinate of \( 2 \), the equation of the line is \( x = 2 \). Vertical lines do not have a slope in the traditional sense, as they would have an undefined slope. In practical terms, this means that for any value of \( y \), when \( x = 2 \), you will always be on this line!

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