Algebra 2 - How to determine if a table of a function is an example of direct variation

The video tutorial explains direct variation, where a function follows the rule Y = KX, with K as a constant. It describes how to determine if a relationship is a direct variation by checking if the ratio y/X is constant across different coordinates. The tutorial demonstrates calculating K for various coordinates and confirms direct variation if K remains consistent. Finally, it shows how to write the direct variation equation using the constant K.

What is the general form of a direct variation equation?

• Y = K/X

• Y = X + K

• Y = X - K

• Y = KX

What does the constant K represent in the equation Y = KX?

• The difference between Y and X

• The ratio of Y to X

• The slope of the line

• The y-intercept

How can you verify if a set of coordinates follows direct variation?

• By checking if the sum of Y and X is constant

• By ensuring the product of Y and X is constant

• By ensuring the difference between Y and X is constant

• By calculating the ratio Y/X for each pair and checking if it is constant

What is the value of K if the coordinates (14, 2), (21, 3), and (35, 5) are given?

• 5

• 6

• 7

• 8

If K is found to be 7 for a set of coordinates, what is the direct variation equation?

• Y = 7 + X

• Y = 7X

• Y = X/7

• Y = X - 7