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 type of line does the equation y = 5 represent?

• Curved line

• Diagonal line

• Horizontal line

• Vertical line

What is the slope of a line perpendicular to a horizontal line?

• Negative

• Undefined

• Positive

• Zero

If a line has a slope of 0, what is the slope of a line perpendicular to it?

• 0

• Infinity

• 1

• Undefined

What is the equation of a vertical line passing through the point (3, 2)?

• y = 2

• x = 3

• x = 2

• y = 3

Which of the following statements is true about perpendicular lines?

• They are parallel.

• They intersect at a 90-degree angle.

• They never intersect.

• They have the same slope.