Understanding Vertical Lines and Coordinates

The video tutorial explains how to graph the linear equation x=2. It describes that x is always 2 regardless of y's value, resulting in a vertical line on the x-axis. The tutorial tests this by plotting points (2, 3), (2, 0), and (2, -3), confirming they all lie on the line. The video concludes with a thank you from Dr. B.

What does the equation x = 2 represent on a graph?

• A horizontal line at y = 2

• A diagonal line through the origin

• A vertical line at x = 2

• A curve passing through (2, 2)

If x is always 2, what can be said about the value of y?

• y can be any value

• y must be positive

• y must be negative

• y must also be 2

What is the significance of the arrows on the line x = 2?

• They mark the endpoints of the line

• They indicate the line is finite

• They represent the slope of the line

• They show the line extends to infinity

Which of the following points lies on the line x = 2?

• (2, 0)

• (2, 3)

• (0, 2)

• (3, 2)

How can you confirm that a point lies on the line x = 2?

• Verify both coordinates are equal

• See if the point is on the y-axis

• Ensure the x-coordinate is 2

• Check if the y-coordinate is 2