Equations: Constant of Proportionality

Front

What is the equation for a proportional relationship if y varies directly with x?

Back

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

Front

What is the constant of proportionality?

Back

It is the constant value (k) that relates y and x in a proportional relationship.

Front

What does the ordered pair (0,0) represent in a coordinate system?

Back

The origin.

Front

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

Back

If the ratio of y to x is constant for all pairs, the relationship is proportional.

Front

What is the unit rate in a proportional relationship?

Back

It is the constant of proportionality, representing the value of y when x is 1.

Front

Is the equation y = 2x proportional?

Back

Yes, it is a proportional relationship.

Front

What does a proportional graph look like?

Back

A straight line that passes through the origin.

Front

If the graph does not pass through the origin, is it proportional?

Back

No, it is non-proportional.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

In a proportional relationship, the constant of proportionality is equal to the slope of the line.

Front

If y = 3x, what is the constant of proportionality?

Back

3.