Exploring Linear Rules and Functions

This video tutorial covers linear equations, their graphing using slope-intercept form, and the concept of linear functions. It explains how arithmetic sequences relate to linear equations and how to identify functions. The tutorial also demonstrates creating rules for linear equations using slope and y-intercept, and discusses domain and range. The video concludes with a summary of key points.

What is the common difference in an arithmetic sequence?

• The sum of all terms

• The difference between consecutive terms

• The first term of the sequence

• The product of all terms

In the slope-intercept form of a linear equation, what does 'm' represent?

• The constant term

• The slope

• The x-intercept

• The y-intercept

How do you determine the y-intercept from the equation y = mx + b?

• It is the value of 'y'

• It is the value of 'm'

• It is the value of 'x'

• It is the value of 'b'

What is the rise over run in the context of graphing a linear equation?

• The product of x and y

• The sum of x and y

• The change in x divided by the change in y

• The change in y divided by the change in x

What is a function in mathematical terms?

• A relationship where each x is paired with multiple y values

• A relationship where each x is paired with only one y value

• A relationship where each y is paired with multiple x values

• A relationship where each y is paired with only one x value

How do you identify the domain of a function from a table?

• By listing all the y-coordinates

• By listing all the x-coordinates

• By listing all the points

• By listing all the slopes

What does it mean if a set of points does not form a line?

• The points are all different

• The points are consistent

• The points are not consistent

• The points are all the same

How do you find the slope of a line from a table of values?

• By subtracting the change in y from the change in x

• By dividing the change in x by the change in y

• By dividing the change in y by the change in x

• By adding the change in x and the change in y

What is the y-intercept in the equation y = 2/3x + 8?

• 2/3

• 8

• x

• y

How do you determine if a set of points is a function?

• Each x has only one y value

• Each x has multiple y values

• Each y has multiple x values

• Each y has only one x value