Proportional: Graphs, Tables, Equations

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 in the equation y = kx?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship.

Front

What is the graphical representation of a proportional relationship?

Back

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

Front

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

Back

If a line does not pass through the origin, it is not a proportional relationship.

Front

How can you determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the equation of a line that is proportional?

Back

The equation of a proportional line is in the form y = kx, where k is the constant of proportionality.

Front

What does the point (3,6) mean in a proportional relationship?

Back

In a proportional relationship, the point (3,6) means that for every 3 units of x, there are 6 units of y.

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

What is the significance of the slope in a proportional graph?

Back

The slope of a proportional graph represents the constant of proportionality.

Front

True or False: A straight line can be proportional if it has a slope of zero.

Back

False. A slope of zero means the line is horizontal and does not represent a proportional relationship.