Constructing Linear Functions: Calculating Slope and Y-Intercept

The video tutorial explains how to construct a linear function by calculating the slope and y-intercept from various representations. It covers the concept of linear functions, emphasizing the constant rate of change (slope) and initial value (y-intercept). The tutorial highlights common mistakes in graph interpretation, such as confusing vertical and horizontal lines. It uses a practical example of an antelope population problem to demonstrate how to apply these concepts in different representations, including numeric and graphic forms.

What is the initial value in the function y = 3x + 2?

• y

• x

• 2

• 3

In the context of a cell phone plan, what does a horizontal line at y = 30 represent?

• A cost of $30 for unlimited minutes

• A cost of $30 for 30 minutes

• A cost of $30 for no minutes

• A cost of $30 for each minute

What is the y-intercept in the antelope population problem?

• 105

• 0

• 5

• 100

How many antelope are added to the population each year?

• 5

• 15

• 10

• 100

What is the slope of the line representing the antelope population growth?

• 0

• 5

• 10

• 100