Understanding Linear Relationships and Slope

The video tutorial explains how to identify and calculate the slope of a line using graphs. It covers the concept of linear relationships, the definition of slope as a constant rate of change, and how to calculate slope using the rise over run method. Different types of slopes, such as positive, negative, zero, and undefined, are discussed. The video also explores the concept of proportionality in linear equations and introduces the constant of proportionality.

If Carl works for 3 hours, how much will he earn?

• $21

• $84

• $63

• $42

What is the constant rate of change in Carl's earnings per hour?

• $23

• $22

• $21

• $20

What does a linear relationship imply about the rate of change?

• It varies

• It is constant

• It decreases

• It increases

What is the term used to describe the steepness of a line?

• Gradient

• Intercept

• Angle

• Slope

How do you calculate the slope of a line?

• Product of X and Y

• Change in X over Change in Y

• Sum of X and Y

• Change in Y over Change in X

What is the slope of a line that goes up 1 unit and over 1 unit?

• 1

• 0

• -1

• Undefined

What is the slope of a line that goes down 2 units and over 5 units?

• -5/2

• 5/2

• -2/5

• 2/5

What type of line has a slope of zero?

• Vertical

• Horizontal

• Diagonal

• Undefined

What is the slope of a vertical line?

• Zero

• One

• Undefined

• Negative

What is another term for the slope in a proportional relationship?

• Angle

• Intercept

• Constant of proportionality

• Gradient