Writing Equations for Proportional Relationships

This video tutorial teaches how to write an equation expressing the relationship between two proportional quantities by finding the constant of proportionality. It explains that if x and y are proportional, the equation y = kx can be used, where k is the constant found by dividing y by x. The video provides an example using feet and yards, demonstrating how to plot points on a graph and determine the constant proportionality, which is 3 in this case. The lesson concludes by reinforcing the concept of proportional relationships and their graphical representation as a straight line through the origin.

What is the equation that relates two proportional quantities?

How can we find the constant proportionality between two quantities?

What does the graph of proportional quantities look like?

What is the constant proportionality in the example of feet and yards?

How would you write an equation to express the relationship between yards and feet?