Exploring Slopes of Lines

This video tutorial by Mr. Backberg covers lesson 3.4 on finding and comparing slopes of lines. It explains the concept of slope as the ratio of vertical change (rise) to horizontal change (run) and introduces different ways to represent slope, including the formula (Y2 - Y1) / (X2 - X1). The video discusses four types of slopes: positive, negative, zero, and undefined. Through examples, it demonstrates how to calculate slope between points and how to determine if lines are parallel or perpendicular based on their slopes. The lesson concludes with a summary of key points.

What is the slope of a line?

• The difference between vertical and horizontal changes

• The ratio of horizontal change to vertical change

• The ratio of vertical change to horizontal change

• The sum of vertical and horizontal changes

How can slope be represented?

• As a difference of rise and run

• As a sum of rise and run

• As a fraction with rise over run

• As a product of rise and run

What type of slope does a line have if it goes up from left to right?

• Zero slope

• Negative slope

• Positive slope

• Undefined slope

What is the slope of a flat horizontal line?

• Undefined

• Negative

• Positive

• Zero

What is the slope of a vertical line?

• Undefined

• Zero

• Negative

• Positive

What is the slope of the line passing through the points (6, 4) and (8, 2)?

• -2

• 2

• 1

• -1

What is the slope of the line passing through the points (6, 0) and (6, 4)?

• 0

• 1

• Undefined

• -1

How do you determine if two lines are parallel?

• They have slopes that are reciprocals

• They intersect at a right angle

• They have opposite slopes

• They have the same slope

What is the relationship between the slopes of perpendicular lines?

• They are equal

• They are opposite reciprocals

• They are both positive

• They are both negative

If the slope of one line is 3/2, what is the slope of a line perpendicular to it?

• -3/2

• 2/3

• 3/2

• -2/3