Exploring Proportional Tables and Equations

This video tutorial explores representing proportional relationships using tables, graphs, and equations. It explains the concept of slope and how to find it using rise over run from graphs and y over x from tables. The tutorial provides multiple examples, demonstrating how to convert graph points to tables, calculate slopes, and write equations. It emphasizes the importance of proportional relationships passing through the origin and highlights the method's limitations for non-proportional lines.

What is the form of the proportional equation discussed in the video?

• y = mx + b

• y = m + x

• y = x + m

• y = mx

What does the slope (m) measure in a proportional relationship?

• The x-intercept of the line

• The length of the line

• The y-intercept of the line

• The steepness of the line

How can you identify a proportional relationship from a graph?

• The line is horizontal

• The line goes through the origin

• The line is vertical

• The line has a positive slope

When transferring points from a graph to a table, what should each row in the table represent?

• A single y value

• A single x value

• An ordered pair (x, y)

• A ratio of y over x

What is the ratio used to find the slope from a table?

• x plus y

• y minus x

• y over x

• x over y

Why should you not use the origin point (0,0) when finding the slope from a graph?

• It is not a valid point

• It is difficult to plot

• It does not provide useful information for the slope

• It is not on the line

What should you do if the ratios in your table are not simplified?

• Convert them to mixed numbers

• Leave them as they are

• Simplify them to their lowest terms

• Multiply them by 10

What is the equation form used after finding the slope from the table?

• y = mx + b

• y = m + x

• y = mx

• y = x/m

What is the simplified ratio for the points (3, 12) and (5, 20)?

• 4

• 5

• 3

• 2

What is the final equation for the slope found in the last example?

• y = 4x

• y = 2x

• y = 6x

• y = 3x