Understanding Slope of a Line

The video tutorial explains the concept of slope as a ratio of vertical to horizontal change, often expressed as rise over run. It provides two examples: one with an undefined slope due to division by zero, and another with a zero slope where the vertical change is zero. The tutorial emphasizes understanding the graphical representation of these slopes, highlighting vertical and horizontal lines. The lesson concludes with a summary of these concepts.

What is the slope of a line defined as?

• The sum of the x-coordinates

• The difference between two points

• The product of the y-coordinates

• The ratio of vertical change to horizontal change

How is the slope of a line typically expressed?

• As the sum of x and y

• As the difference between x and y

• As rise over run

• As the product of x and y

What happens when you divide by zero while calculating slope?

• The slope is infinite

• The slope is undefined

• The slope is negative

• The slope is zero

In the first example, why is the slope undefined?

• Because the y-coordinates are the same

• Because the x-coordinates are the same

• Because the points are on a horizontal line

• Because the points are on a diagonal line

What type of line has an undefined slope?

• Diagonal line

• Vertical line

• Curved line

• Horizontal line

In the second example, what is the slope of the line?

• Zero

• Negative

• Positive

• Undefined

Why does a horizontal line have a slope of zero?

• Because the line is diagonal

• Because the vertical change is zero

• Because both changes are zero

• Because the horizontal change is zero

What is the y-intercept of the horizontal line in the second example?

• -1

• 6

• 0

• -6

What is the key difference between a vertical and a horizontal line in terms of slope?

• Both have slopes of zero

• Both have undefined slopes

• Vertical lines have an undefined slope, horizontal lines have a slope of zero

• Vertical lines have a slope of zero, horizontal lines are undefined

What does DNE stand for in the context of slope?

• Does Not Exist

• Defined Not Equal

• Does Not Equal

• Defined Not Exist