Exploring Slope Concepts and Relationships

The video tutorial covers a review of slope concepts, including positive, negative, zero, and undefined slopes. It explains how to find the slope from a graph using the rise over run method and from ordered pairs using the slope formula. The tutorial also discusses the characteristics of parallel and perpendicular lines, emphasizing their slope relationships. Finally, it demonstrates solving for unknowns to determine if lines are parallel or perpendicular.

What is the slope of a line that goes uphill from left to right?

• Undefined

• Zero

• Negative

• Positive

If a line goes downhill from left to right, what type of slope does it have?

• Negative

• Zero

• Positive

• Undefined

What is the slope of a horizontal line?

• Undefined

• Zero

• Negative

• Positive

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

• (y1 - y2) / (x1 - x2)

• (x1 - x2) / (y1 - y2)

What is the slope of the line passing through points (2, 3) and (5, 7)?

• 4

• 3

• 2

• 1

What is the relationship between the slopes of parallel lines?

• They are equal

• They are negative reciprocals

• They are both zero

• They are undefined

What is the relationship between the slopes of perpendicular lines?

• They are both zero

• They are undefined

• They are negative reciprocals

• They are equal

Given the slopes of two lines are 2/3 and -3/2, what is their relationship?

• Parallel

• Perpendicular

• Neither

• Cannot be determined

If the slope of line AB is 2, what should be the slope of line CD to make them parallel?

• -2

• 2

• 1/2

• -1/2

If the slope of line AB is 2, what should be the slope of line CD to make them perpendicular?

• 2

• -2

• 1/2

• -1/2