Two points on a graph are (0, 0) and (4, 1). Identify the constant of proportionality.
A. -1/4
B. -4
C. 4
D. 1/4
To find the constant of proportionality, we need to determine the ratio of the y-coordinates to the x-coordinates for the two given points.
For the first point (0, 0), the ratio is 0/0, which is undefined.
For the second point (4, 1), the ratio is 1/4.
As we can see, the ratio is the same for both points: 1/4.
Therefore, the constant of proportionality is 1/4.
Therefore, the answer is D. 1/4.