If the point (4,2) lies on the graph of a line that represents a direct variation, what is the constant of variation?
Responses
−1/2
-8
1/2
1 half
8
Alternatively, we can use the direct variation equation y = kx, where k is the constant of variation.
By plugging in the coordinates (4,2), we get 2 = k(4).
Simplifying the equation, we have 2 = 4k.
Dividing both sides by 4, we find k = 1/2.
Therefore, the constant of variation is 1/2.