209k views
3 votes
Constant of proportionality in the equation x-y=0 and are x and y proportional

User Suzanna
by
7.6k points

1 Answer

2 votes

Final answer:

The equation x - y = 0 indicates that x and y are directly proportional with a constant of proportionality of 1, as y equals x times this constant.

Step-by-step explanation:

The equation x - y = 0 suggests that x and y are directly proportional since rearranging it gives us y = x. This implies that for every unit increase in x, y increases by the same amount, which indicates a more-more relationship. The constant of proportionality here is 1, because y equals x multiplied by 1. If we plot these variables on a graph, we'll get a straight line that goes through the origin (0, 0), confirming their direct proportionality. In general, when two variables x and y are directly proportional, the relationship can be expressed as y = kx, where k represents the constant of proportionality.

User Nhylated
by
7.8k points