Proportional Relationships in Graphs

Front

What is a proportional relationship?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as k in the equation y = kx.

Front

How can you identify a proportional relationship on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, indicating how much of one quantity corresponds to one unit of another quantity.

Front

If the point (1, w) is on a proportional graph, what does it indicate?

Back

It indicates that when the independent variable (x) is 1, the dependent variable (y) is w, representing the unit rate.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality, select two points on the line, calculate the ratio of the y-coordinates to the x-coordinates.

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Back

Front

What is the significance of the origin (0,0) in a proportional graph?

Back

The origin (0,0) signifies that when there is no input (0), there is also no output (0), confirming the relationship is proportional.

Front

How can you express a proportional relationship mathematically?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.