Final answer:
The constant of proportionality when the x-coordinate is 2 and the y-coordinate is 6 is 3. This is found by dividing y (6) by x (2). The correct answer is C.3.
Step-by-step explanation:
The constant of proportionality can be found by dividing the y-coordinate by the x-coordinate.
In this case, when the x-coordinate is 2 and the y-coordinate is 6,
the constant of proportionality is 6 divided by 2, which equals 3.
The constant of proportionality is the ratio of corresponding values of two directly proportional quantities. If we have an x-coordinate of 2 and a y-coordinate of 6, we can find the constant of proportionality (k) by dividing y by x.
So, the constant of proportionality k is calculated as follows:
k = y / x
k = 6 / 2
k = 3
Therefore, the constant of proportionality when the x-coordinate is 2 and the y-coordinate is 6 is 3.