To find the constant of variation, k, in the direct variation equation y = kx, we can use the given point (3, 2). In this context, x represents 3 and y represents 2.
We can substitute the values into the equation:
2 = k * 3
To isolate k, we divide both sides by 3:
k = 2 / 3
Therefore, the constant of variation k is 2/3. This means for every 3 units increase in x, y increases by 2 units, maintaining a constant ratio of 2:3.