Question

Two variables are proportionally related with a constant of proportionality k. Which of the following points must lie on the graph of this relationship?

(A). (k, 0)
(B). (k, 1)
(C). (0,k)
(D). ( 1,k)

Answer 1

The correct point that must lie on the graph of a proportional relationship is (0, k).

Step-by-step explanation:

When two variables are proportionally related with a constant of proportionality k, the relationship can be represented as y = kx or x = ky, where k is the proportionality constant.

In this case, the correct point that must lie on the graph of this relationship is (0,k).

This is because when the value of x is 0, the value of y will be k multiplied by 0, which is 0.

Therefore, option (C) is the correct answer.