Proportional Relationships

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

The constant of proportionality (k) is the constant ratio between two proportional quantities, often represented as k = y/x.

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

If an equation does not represent a proportional relationship, it means that the ratio of y to x is not constant.

To determine the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

In proportional relationships, the origin (0,0) signifies that when one quantity is zero, the other quantity is also zero.

No, a proportional relationship cannot be represented by a nonlinear graph; it must be a straight line through the origin.

The formula to find the constant of proportionality is k = y/x.

To verify if a set of points forms a proportional relationship, check if the ratios of y to x for all points are equal.