Master Determine if a given equation is an example of direct variation or not

The video tutorial explains how to determine if an equation represents direct variation and how to find the constant of variation, K. It begins by introducing the concept of direct variation, represented by the equation Y = KX. The tutorial provides examples and non-examples, demonstrating how to solve for Y to check if an equation is in direct variation form. It also covers handling fractional constants and understanding division as multiplication in the context of direct variation.

What is the standard form of a direct variation equation?

• Y = K + X

• Y = KX

• Y = X/K

• Y = K - X

Which of the following equations represents a direct variation?

• Y = 4X + 2

• Y = 3X - 5

• Y = -2X

• Y = X/3 + 1

If an equation is in the form Y = 4X, what is the constant of variation?

• X

• 1/4

• 0

• 4

How can you rewrite Y = X/7 to show it as a direct variation?

• Y = 7X

• Y = X - 7

• Y = 1/7 * X

• Y = X + 7

What is the constant of variation in the equation Y = 8/5 * X?

• 1/8

• 8/5

• 5/8

• 5