Understanding Slope and Line Characteristics

The video tutorial explains how to graph lines given a point and a slope. It covers two scenarios: a horizontal line with a slope of zero and a vertical line with an undefined slope. For the horizontal line, the video demonstrates plotting the point (-3, 4) and using the slope to find additional points, resulting in a line equation of y = 4. For the vertical line, it shows plotting the point (2, -3) and using the undefined slope to find additional points, resulting in a line equation of x = 2.

What is the slope of a horizontal line?

• Zero

• Negative

• Undefined

• One

How do you express an integer slope as a fraction?

• By adding zero to the numerator

• By making the denominator one

• By subtracting one from the numerator

• By multiplying by two

Which of the following points lies on the horizontal line through (-3, 4)?

• (-2, 5)

• (-4, 4)

• (-3, 3)

• (-3, 5)

What is the equation of a horizontal line passing through the point (-3, 4)?

• y = -3

• x = -3

• y = 4

• x = 4

What is the characteristic of a line with an undefined slope?

• It has a negative slope

• It has a positive slope

• It is vertical

• It is horizontal

How can you express an undefined slope as a fraction?

• 0 divided by 0

• 1 divided by 0

• 0 divided by 1

• 1 divided by 1

Which of the following points lies on the vertical line through (2, -3)?

• (2, -4)

• (3, -3)

• (2, -2)

• (1, -3)

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

• y = 2

• x = 2

• x = -3

• y = -3

What happens to the x-coordinate when moving along a vertical line?

• It increases

• It decreases

• It remains constant

• It changes randomly

What is the vertical change when moving along a line with an undefined slope?

• Zero

• One

• Undefined

• Constant