Which equation represents a proportional relationship?
14x+y=10
y=14x
y=13x+1
I don't know.
it must be of the form y = kx
with no other terms getting in the way
To determine which equation represents a proportional relationship, let's look at the form of a proportional relationship equation. In a proportional relationship, the equation is typically in the form y = kx, where k is a constant.
Out of the given equations:
1) 14x + y = 10 does not have the form y = kx.
2) y = 14x does have the form y = kx, where k = 14. This equation represents a proportional relationship between x and y.
3) y = 13x + 1 does not have the form y = kx.
Therefore, the equation that represents a proportional relationship is y = 14x.
To determine which equation represents a proportional relationship, we need to compare the equations and identify any patterns.
A proportional relationship is one where the ratio between two variables remains constant. In other words, as one variable increases or decreases, the other variable changes in a predictable way.
Let's look at each equation and see if we can spot any patterns:
1. 14x + y = 10:
This equation does not represent a proportional relationship because the terms 14x and y are added together. In a proportional relationship, one variable would be directly proportional to the other without any additional terms.
2. y = 14x:
This equation represents a proportional relationship. Here, the variable y is directly proportional to x with a constant of 14. As x increases or decreases, y increases or decreases in a consistent and predictable manner.
3. y = 13x + 1:
This equation does not represent a proportional relationship because of the additional term '+1'. In a proportional relationship, there should be no constant term added or subtracted.
Therefore, the equation that represents a proportional relationship is y = 14x.