Question

What is a proportion relationship?
Answer
In a graph
Answered by GPT 3.5
A proportion relationship is a mathematical relationship between two or more quantities that states that they are equal to each other. It can be expressed as a ratio or a fraction. In a proportion, the quantities on one side of the ratio are directly proportional to the quantities on the other side. For example, if the ratio of the length of a rectangle to its width is 2:3, then it can be stated that the length is proportional to the width in the ratio 2/3.
Answered by GPT 3.5
In a graph, a proportion relationship is represented by a straight line passing through the origin (0,0). This straight line indicates that the two variables being compared have a constant ratio or proportion.

For example, if you have a graph with the horizontal-axis representing the independent variable and the vertical-axis representing the dependent variable, and the plotted points form a straight line passing through the origin, then it indicates that there is a proportion relationship between the two variables.

The slope of the line represents the constant ratio or proportion between the two variables. It can be calculated by taking the change in the dependent variable divided by the change in the independent variable.

It is important to note that not all relationships on a graph are proportionate. Non-proportionate relationships can be represented by curved lines or lines that do not pass through the origin.