Understanding Undefined Slope and Vertical Lines

The video tutorial explains the concept of undefined slope, which is associated with vertical lines. It describes how vertical lines go up and down, not left to right, and have a zero in the denominator of the slope formula, making the slope undefined. The tutorial also covers how ordered pairs for vertical lines have the same x-coordinate but different y-coordinates. Finally, it demonstrates using the slope formula to identify vertical lines and emphasizes that vertical lines have an undefined slope.

What is the main characteristic of a vertical line?

• It has a slope of zero.

• It goes up and down.

• It has a defined slope.

• It goes left to right.

Why is the slope of a vertical line considered undefined?

• Because the run is zero.

• Because the rise is zero.

• Because both rise and run are zero.

• Because it has a negative slope.

What happens when you have zero in the denominator of a fraction?

• The fraction becomes negative.

• The fraction becomes infinite.

• The fraction becomes undefined.

• The fraction becomes zero.

In a vertical line, how do the x and y coordinates of ordered pairs behave?

• Both x and y coordinates are the same.

• Both x and y coordinates vary.

• X coordinates are the same, y coordinates vary.

• X coordinates vary, y coordinates are the same.

What does the slope formula calculate?

• The product of x and y coordinates.

• The difference in y coordinates over the difference in x coordinates.

• The difference in x coordinates over the difference in y coordinates.

• The sum of x and y coordinates.

Which of the following is true about vertical lines?

• They have a positive slope.

• They have a negative slope.

• They have an undefined slope.

• They have a slope of one.

How can you identify a vertical line using the slope formula?

• By finding a negative slope.

• By finding a zero in the denominator.

• By finding a zero in the numerator.

• By finding equal rise and run.