Proportionality in Linear Equations

The video tutorial covers the concepts of proportional and non-proportional situations, focusing on how to identify them using graphs, tables, and equations. It explains that proportional relationships are represented by straight lines passing through the origin on a graph, and by equations with a y-intercept of zero. The tutorial also demonstrates how to use a calculator to input tables and determine proportionality, and explores non-linear graphs to show why they are not proportional. The session concludes with examples and a summary of the key concepts.

What is a key characteristic of a proportional graph?

• It passes through the origin.

• It is a vertical line.

• It is a curved line.

• It has a y-intercept other than zero.

Which point must a proportional graph pass through?

• (0,0)

• (1,1)

• (0,1)

• (1,0)

What does a straight line through the origin on a graph indicate?

• A non-proportional relationship.

• A proportional relationship.

• An exponential relationship.

• A quadratic relationship.

What is the significance of the origin in determining proportionality?

• It is only used in quadratic equations.

• It is crucial for identifying proportional graphs.

• It is only important for non-linear graphs.

• It is irrelevant.

What is a key characteristic of a proportional graph?

• It is a curved line.

• It passes through the origin.

• It has a y-intercept other than zero.

• It is a vertical line.

Which point must a proportional graph pass through?

• (0,0)

• (1,1)

• (1,0)

• (0,1)

What does a straight line through the origin on a graph indicate?

• An exponential relationship.

• A non-proportional relationship.

• A quadratic relationship.

• A proportional relationship.

What is the first step in using a calculator to check if a table is proportional?

• Graph the numbers.

• Find the median of the numbers.

• Calculate the mean of the numbers.

• Enter the numbers into L1 and L2.

What does a y-intercept of zero indicate about a table?

• The table has no relationship.

• The table is non-proportional.

• The table is proportional.

• The table is exponential.

How can you identify a proportional relationship in a table using a calculator?

• By finding the median.

• By checking if the y-intercept is zero.

• By calculating the mean.

• By graphing the numbers.