Answer:
The equation for direct variation is y=kx. Direct variation is when 2 variables both change in the same direction. This means that if one variable increases, then the other does as well and vice versa. In this equation, k is the constant of variation. The constant of variation represents the relationship between the 2 variables. Additionally, the k value does not change.
To solve for k, divide both sides by x. This creates the new equation y/x=k. Using this equation, you can take 2 variables, divide them, and find the constant of variation.
For example, take the values x={1,2,3,4} and y={2,4,6,8}. Using the equation y/x=k, we can find the constant of variation. When plugging the first values of each set into the equation you get 2/1. This equals 2, proving that k=2. Even if you use the other values, like 8/4, k still equals 2.
