Understanding Perpendicular and Parallel Lines

The video tutorial explains how to find equations of lines that are perpendicular and parallel to given lines. It starts with finding a line perpendicular to y = -4 through the point (-1, 5), illustrating the concept of vertical lines and their undefined slope. The tutorial then moves to finding a line parallel to y = 5 through the point (4, -3), emphasizing that parallel lines have the same slope and never intersect. The video uses graphing and examples to clarify these concepts.

What is the equation of a line perpendicular to y = -4?

• x = 0

• y = 4

• y = -4

• x = -1

What type of line does the equation y = -4 represent?

• Curved

• Vertical

• Diagonal

• Horizontal

If a line is perpendicular to a horizontal line, what is its orientation?

• Curved

• Horizontal

• Vertical

• Diagonal

What is the x-coordinate of every point on the line x = -1?

• 0

• -1

• Undefined

• 1

What is the slope of a horizontal line?

• 0

• 1

• Infinite

• Undefined

What is the slope of a vertical line?

• Undefined

• 1

• Negative

• 0

What is the equation of a line parallel to y = 5 passing through (4, -3)?

• x = -3

• y = -3

• x = 4

• y = 5

What is a characteristic of parallel lines?

• They intersect

• They have different slopes

• They never intersect

• They form a right angle

Which of the following is true about two horizontal lines?

• They are always parallel

• They are always perpendicular

• They have different slopes

• They intersect at one point

What is the y-coordinate of every point on the line y = -3?

• 3

• -3

• Undefined

• 0