Graphing Linear Relationships and Functions

The video tutorial explains how to graph a set of ordered pairs representing the ages of Hong and his sister. It demonstrates plotting these pairs on a graph, identifying the linear relationship, and deriving the equation that relates the two variables, X and Y. The process involves recognizing the pattern of subtracting three from X to get Y, resulting in the equation Y = X - 3.

What do the ordered pairs in the problem represent?

• The ages of two siblings

• The heights of two trees

• The distances between two cities

• The weights of two animals

What is the first step in graphing the ordered pairs?

• Calculating the slope

• Plotting the points

• Labeling the axes

• Drawing a straight line

Which point is plotted first on the graph?

• (8, 5)

• (16, 13)

• (9, 6)

• (10, 7)

What do the plotted points on the graph indicate?

• A cubic function

• A linear function

• A constant function

• A quadratic function

What is the general form of the equation relating X and Y?

• y = mx + b

• y = x^2 + c

• y = ax^3 + d

• y = b/x

What operation is used to relate X to Y in this problem?

• Subtraction

• Multiplication

• Division

• Addition

What is the final equation that relates X and Y?

• y = x + 3

• y = x - 3

• y = 3x

• y = x/3