For each equation, determine whether it shows a direct variation (that is, shows directly proportional variables).
If it does, find the constant of variation and write it in simplest form.
3y=18x
k=
6x=-3y-1 k=
The equation 3y = 18x is a direct variation because y and x are directly proportional. The constant of variation is found by dividing the coefficient of y (3) by the coefficient of x (18), which simplifies to 1/6. So, k = 1/6.
The equation 6x = -3y - 1 is not a direct variation because y and x are not directly proportional. So, there is no constant of variation for this equation.