Proportions: Equations, Tables, and Graphs

Front

What is a proportion?

Back

A mathematical sentence stating that two ratios are equal.

Front

What is the constant of proportionality?

Back

The constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

What does it mean for a graph to be proportional?

Back

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

Front

What is the equation of a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

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

Back

If the ratio of y to x is constant for all pairs of values.

Front

What is the slope of a proportional relationship?

Back

The slope is equal to the constant of proportionality (k).

Front

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

Back

The constant of proportionality is 2.

Front

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

Back

It indicates that the relationship is not proportional.

Front

How can you identify a proportional relationship from a set of points?

Back

If the points form a straight line through the origin when plotted on a graph.

Front

What is the relationship between ratios in a proportion?

Back

The ratios are equivalent, meaning they have the same value.