If the point (4,2) lies on the graph of a line that represents a direct variation, what is the constant of variation?
Responses
−12
negative 1 half
-8
-8
12
1 half
8
None of the given responses are correct.
To find the constant of variation in a direct variation, we can use the formula y = kx, where y and x are the variables and k is the constant of variation.
Using the given point (4,2), we can substitute the values into the formula:
2 = k * 4
Dividing both sides by 4:
2/4 = k
Simplifying:
1/2 = k
Therefore, the constant of variation is 1/2 or "one half".