Question

A proportional relationship is a linear relationship because the rate of change is constant(and equal to the constant of proportionality).what is required of a proportional relationshipthat is not required of a general linear relationship

Answer 1

A proportional relationship is a relationship of two variables that are related by a constant of proportionality, this can be written as:

y = k*x

where k is the constant of proportionality.

While a linear equation has the form:

y = a*x + b

where a is the slope and b is the y-intercept.

you can see that the only difference is that in the case of the proportional relationship we do not have any y-intercept term, so the thing that is required in the proportionality relationship is that b = 0, while in a linear relationship b can take any value.

Answer 2

The thing that is required for a proportional relationship would be that no matter what the order of the relationship is, it should be that if the function of x increases then x would increases as well or vice versa. Hope this helps. Have a nice day. Feel free to ask more questions.