Understanding Slopes and Special Cases

The video tutorial covers the concept of slopes, including positive and negative slopes, and special cases like horizontal and vertical lines. It explains how to calculate slopes using rise over run and provides examples for each type. The tutorial also discusses the equations for horizontal and vertical lines, emphasizing that horizontal lines have a slope of zero and vertical lines have an undefined slope. The video concludes with a summary of the different types of slopes and their corresponding equations.

What is the slope of a line that rises 4 units and runs 3 units?

• 2/3

• 4/3

• 3/4

• 1/2

If a line goes down 2 units and over 2 units, what is its slope?

• 2

• 0

• 1

• -1

What is the slope of a horizontal line?

• 0

• Undefined

• 1

• -1

Which equation represents a horizontal line crossing the y-axis at 2?

• x = 0

• y = 0

• x = 2

• y = 2

Why is the slope of a vertical line considered undefined?

• Because the run is zero

• Because it crosses the x-axis

• Because the rise is zero

• Because it crosses the y-axis

What is the equation of a vertical line crossing the x-axis at 2?

• y = 0

• x = 2

• y = 2

• x = 0

What is the slope of a line that rises 3 units and runs 4 units?

• 4/3

• 3/4

• 1/3

• 1/4

If a line goes down 1 unit and over 4 units, what is its slope?

• -1/4

• 1/4

• -4

• 4

What is the equation of a horizontal line crossing the y-axis at -2?

• y = -2

• y = 0

• x = 0

• x = -2

What is the equation of a vertical line crossing the x-axis at -3?

• y = 0

• x = 0

• x = -3

• y = -3