Understanding Slope and Proportionality

The video reviews direct variation and proportional relationships, explaining them through words, tables, graphs, and equations. It covers unit rates, constants of proportionality, and how to calculate slope. Different types of slopes are discussed, and methods for finding slope from two points are demonstrated. The video concludes with a summary of key concepts.

What are the four forms in which direct variations or proportional relationships can be demonstrated?

• Words, tables, numbers, and equations

• Words, tables, graphs, and equations

• Words, numbers, graphs, and equations

• Tables, graphs, numbers, and equations

In the example problem, how many days are there per week?

• 5 days per week

• 6 days per week

• 7 days per week

• 8 days per week

What is the constant of proportionality in the table example?

• 5

• 6

• 7

• 8

What is the slope of a line that represents a proportional relationship starting from the origin?

• The slope is undefined

• The slope is always 1

• The slope is the unit rate

• The slope is always 0

What is the unit rate in a proportional relationship graph?

• The value of y when x equals 0

• The value of x when y equals 0

• The value of x when y equals 1

• The value of y when x equals 1

In the equation y = kx, what does 'k' represent?

• The slope

• The y-intercept

• The x-intercept

• The constant of proportionality

In a proportional relationship, what does the equation y = 7x represent?

• y is 7 divided by x

• y is 7 more than x

• y is 7 less than x

• y is 7 times x

What is the equation form of a proportional relationship?

• y = k + x

• y = k - x

• y = k * x

• y = k / x

Which type of slope is described as going uphill from left to right?

• Positive slope

• Negative slope

• Zero slope

• Undefined slope

What does a horizontal line on a graph indicate about the slope?

• The slope is undefined

• The slope is zero

• The slope is positive

• The slope is negative