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

How can you identify a proportional relationship in a graph?

Back

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

Front

What does the slope of a line in a proportional relationship represent?

Back

The slope represents the constant of proportionality, which is the ratio of the change in the y-value to the change in the x-value.

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation of a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically written as y = kx, where k is a constant.

Front

Is the relationship represented by the equation y = 3x proportional?

Back

Yes, it is proportional because it can be expressed in the form y = kx.

Front

Is the relationship represented by the equation y = 2x + 1 proportional?

Back

No, it is not proportional because it does not pass through the origin.

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.

Front

How do you determine if two quantities are proportional using a table of values?

Back

Two quantities are proportional if the ratios of corresponding values are equal.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.