Understanding Vertical Lines and Coordinates

The video tutorial explains how to graph a vertical line, specifically the line x = -6. It begins by clarifying that the line is vertical because the x-coordinate is constant at -6, while the y-coordinate can vary. The instructor demonstrates this by plotting points such as (-6, 0), (-6, 1), and (-6, 2) on a graph. By connecting these points, it is shown that the line x = -6 is indeed vertical, passing through the x-coordinate of -6.

What type of line is x = -6?

• Diagonal

• Curved

• Vertical

• Horizontal

If a line is defined by x = -6, what can be said about its x-coordinate?

• It varies

• It is always -6

• It is undefined

• It is always 6

For the line x = -6, what can be said about the y-coordinate?

• It must be 0

• It can be any value

• It must be positive

• It must be negative

What happens to the y-coordinate as you move along the line x = -6?

• It remains constant

• It increases

• It can vary

• It decreases

Which of the following points lies on the line x = -6?

• (6, 0)

• (0, -6)

• (-6, 0)

• (0, 6)

What is the y-coordinate of the point (-6, 2) on the line x = -6?

• 0

• -6

• 2

• Undefined

Which of the following is NOT a point on the line x = -6?

• (-6, 1)

• (-6, -1)

• (-6, 0)

• (6, 0)

If you plot the point (-6, 0), where would it be located?

• 6 units to the right of the origin

• 6 units to the left of the origin

• At the origin

• 6 units above the origin

What is the x-coordinate of the point (-6, 1) on the line x = -6?

• 1

• Undefined

• -6

• 0

How would you describe the line formed by connecting points with x = -6?

• A horizontal line

• A diagonal line

• A curved line

• A vertical line