Proportional and Non-Proportional Relationships

The video tutorial by Screw Diaz covers the concepts of proportional and non-proportional relationships. It explains the characteristics of these relationships, including the importance of a constant rate and starting at the origin for proportional relationships. The tutorial also discusses the slope-intercept form and how to analyze graphs and equations to determine if they are proportional or non-proportional. Example problems are provided to illustrate these concepts, and viewers are encouraged to practice identifying these relationships.

What is a key characteristic of a proportional relationship?

• It starts at the origin.

• It forms a curve.

• It has a y-intercept other than zero.

• It has a variable rate of change.

Which of the following is true about non-proportional relationships?

• They cannot be represented by a straight line.

• They are always curves.

• They can have a constant rate but not start at the origin.

• They always start at the origin.

In a non-proportional relationship, what is a possible characteristic?

• The graph is a straight line not starting at the origin.

• The graph is a straight line through the origin.

• The graph is a horizontal line.

• The graph is a curve starting at the origin.

What does the 'b' represent in the slope-intercept form y = mx + b?

• The slope of the line.

• The y-intercept of the line.

• The x-intercept of the line.

• The constant rate of change.

How can you identify a proportional relationship from its equation?

• The equation is in the form y = mx.

• The equation is in the form y = mx + b with b ≠ 0.

• The equation is in the form y = b.

• The equation is in the form y = mx + b with b = 0.

What is the slope of the line in the equation y = x - 14?

• 0

• 1

• -14

• 14

Which equation represents a non-proportional linear relationship?

• y = x

• y = 3x

• y = 2x + 5

• y = 0.5x

What is the y-intercept of the equation y = 2x + 1?

• 0

• 1

• 2

• -1

How can you determine if a graph represents a proportional relationship?

• The graph is a horizontal line.

• The graph is a straight line that passes through the origin.

• The graph is a straight line that does not pass through the origin.

• The graph is a curve.

What is the constant of proportionality in the equation y = 4x?

• x

• 4

• 1

• 0