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Select the equation of the line that is perpendicular to y = 9 and passes through the point (5, 2).

Question

Select the equation of the line that is perpendicular to y = 9 and passes through the point (5, 2).

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Solution

The line y = 9 is a horizontal line. A line that is perpendicular to a horizontal line is a vertical line.

A vertical line has an undefined slope and takes the form of x = c, where c is a constant.

Since the line we are looking for passes through the point (5, 2), the equation of the line is x = 5.

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