How to determine if a function y varies directly with x from a table

The video tutorial explains how to determine if Y varies directly with X using a table of values. Direct variation is defined as Y = KX, where K is a constant. To verify direct variation, calculate Y/X for each pair of coordinates. If the value of K is consistent across all pairs, Y varies directly with X. The tutorial demonstrates this with examples, showing that the constant K remains the same, confirming direct variation.

Provide an example of calculating K using given X and Y coordinates.

What is the significance of the constant K in direct variation?