How to write the equation of a line perpendicular to another through a point

The video tutorial explains how to graph a line perpendicular to y=5 that passes through the point (3, 2). It begins by graphing the horizontal line y=5 and discusses the concept of perpendicular lines having opposite slopes. The tutorial then explains how to find the reciprocal slope, leading to the conclusion that the perpendicular line is vertical with an undefined slope. Finally, it derives the equation of the vertical line as X=3.

What is the equation of the horizontal line given in the text?

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Explain how to find the slope of a line that is perpendicular to a horizontal line.

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What does it mean for a slope to be undefined, and what type of line does this correspond to?

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How can you graph a vertical line through a specific point?

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What is the final equation of the vertical line that is perpendicular to the horizontal line in the text?

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