Exploring the Concept of Slope: Rise Over Run

The video tutorial explains the concept of slope, which measures the steepness of a line. It covers different types of slopes: positive, negative, zero, and undefined. The slope is calculated as the ratio of vertical change (rise) to horizontal change (run). Examples are provided to illustrate positive and negative slopes, emphasizing that a greater slope indicates a steeper line. The tutorial concludes with a summary of the key points about slope and steepness.

What is the primary use of slope in geometry?

• To calculate the area under a line

• To find the midpoint of a line

• To measure the steepness of a line

• To measure the length of a line

How is slope defined?

• As the product of rise and run

• As the sum of rise and run

• As the ratio of rise to run

• As the difference between rise and run

What does a positive slope indicate?

• The line is rising from left to right

• The line is horizontal

• The line is falling from left to right

• The line is vertical

What type of slope does a horizontal line have?

• Zero

• Negative

• Undefined

• Positive

Which formula is used to calculate the slope of a line?

• Slope = rise - run

• Slope = run / rise

• Slope = rise / run

• Slope = rise + run

If the rise is 2 and the run is 4, what is the slope?

• 1/2

• 2

• 4

• 1/4

What does a negative slope indicate?

• The line is rising from left to right

• The line is vertical

• The line is horizontal

• The line is falling from left to right

What is the slope of a vertical line?

• Undefined

• Zero

• Positive

• Negative

What can be inferred if a line has a greater slope than another line?

• It is more steep

• It is horizontal

• It is less steep

• It is vertical