Proportionality with Proportional Graphs and Tables

Front

What is proportionality?

Back

Proportionality refers to a relationship between two quantities where their ratio remains constant. If one quantity increases, the other increases at a consistent rate.

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Front

What is a constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the ratio of y to x is constant for all pairs of values.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the x and y values.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

If a table shows the values (1, 3), (2, 6), (3, 9), is it proportional?

Back

Yes, because the ratio of y to x is always 3.

Front

What is the equation of a proportional relationship if the constant of proportionality is 5?

Back

The equation is y = 5x.

Front

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

Back

You can find the constant of proportionality by determining the slope of the line, which is the change in y divided by the change in x.

Front

What is the slope of the line in the equation y = 2x + 3?

Back

The slope is 2, but this line is not proportional because it does not pass through the origin.