Determining the Constant of Proportionality from a Graph

The video tutorial explains how to determine the constant of proportionality in graphs by finding the ratio of y to x. It begins with an introduction to graphing and the coordinate plane, detailing the quadrants and how to identify proportional relationships. The tutorial then focuses on calculating the constant of proportionality, using examples to illustrate the process. Finally, it applies the concept to real-world scenarios, such as finding the unit rate of miles per hour, and writing equations to represent proportional relationships.

Which of the following is a characteristic of a proportional relationship in a graph?

• It forms a zigzag pattern.

• It forms a curved line.

• It starts at the origin and forms a straight line.

• It starts at any point on the graph.

In a proportional relationship, how can the constant of proportionality be expressed?

• As the ratio of y to x.

• As the difference between x and y.

• As the product of x and y.

• As the sum of x and y.

What is the formula used to express y in terms of x and the constant of proportionality k?

• y = x + k

• y = k - x

• y = k / x

• y = k * x

In the given example, what is the unit rate of miles per hour?

• 45 miles per hour

• 75 miles per hour

• 30 miles per hour

• 60 miles per hour

How can you find the constant of proportionality from a graph?

• By subtracting x from y.

• By dividing y by x.

• By finding the ratio of x to y.

• By adding the x and y coordinates.