College Math Placement Practice Test 2025 - Free College Math Questions and Study Guide

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Question: 1 / 400

Which of the following represents the equation of a vertical line?

y = k

x = k

The equation of a vertical line is represented by the form x = k, where k is a constant value. This indicates that for any value of y, the value of x remains constant at k. A vertical line runs up and down the Cartesian plane, so regardless of the height (y-coordinate), the position on the x-axis (x-coordinate) stays the same.

In contrast, the other forms mentioned do not represent vertical lines. The equation y = k describes a horizontal line, where the y-coordinate remains constant while the x-coordinate can take on any value. The equation y = mx + b is the slope-intercept form of a linear equation, which defines lines that can have both a horizontal and vertical component depending on the slope (m) value. Therefore, it cannot represent a vertical line unless the slope is undefined, which is not indicated in the equation itself.

Consequently, the only correct choice for representing a vertical line is x = k.

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y = mx + b

None of the above

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