Constructing Linear Functions from Tables

The video tutorial explains how to construct a linear function using a table. It begins by defining linear functions and their various representations, such as equations, graphs, and tables. The tutorial then delves into the components of linear functions, including independent and dependent variables, slope, and y-intercept. It provides a step-by-step guide on deriving linear equations from tables, focusing on finding the rate of change and y-intercept. The video concludes with methods to verify the accuracy of the derived linear function using table entries.

Which of the following is NOT a representation of a linear function?

• A graph

• A table

• A quadratic equation

• An equation

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The slope or rate of change

• The independent variable

• The dependent variable

What is the role of 'x' in a linear function?

• It is the y-intercept

• It is the independent variable

• It is the slope

• It is the dependent variable

How do you determine the slope from a table?

• By finding the constant change in y as x increases by 1

• By finding the constant change in x as y increases by 1

• By dividing y by x

• By subtracting x from y

If the y-value increases by 3 every time x increases by 1, what is the slope?

• 2

• 1

• 3

• 4

Which method can be used to find the y-intercept from a table?

• Subtracting the slope from y

• Using the slope formula

• Finding the y-value when x is 0

• Calculating the average of x and y

What is the linear equation derived from a table with a slope of 3 and y-intercept of -1?

• y = -3x - 1

• y = -3x + 1

• y = 3x - 1

• y = 3x + 1