The point (12,9) is included in a direct variation. What is the constant of variation

1 answer

In direct variation, the constant of variation (often denoted as k) is the ratio between the two variables.

Given the point (12,9), we can form the equation of direct variation as y = kx.

Substituting the given values, we get 9 = k(12).

Solving for k, we divide both sides of the equation by 12 to isolate k.

k = 9/12 = 3/4.

Therefore, the constant of variation is 3/4.