Proportional Relationships

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 is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

How do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of y to x are constant for all pairs of values.

Front

What does the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the factor by which one quantity changes in relation to another.

Front

What is the origin in the coordinate plane?

Back

The origin is the point (0, 0) in the coordinate plane where the x-axis and y-axis intersect.

Front

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

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What is the formula to find the constant of proportionality (k)?

Back

The formula to find k is k = y/x.

Front

Which of the following is a proportional relationship: y = 2x or y = x + 3?

Back

y = 2x is a proportional relationship because it can be expressed in the form y = kx.

Front

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

Back

A non-proportional relationship means that the ratio of y to x is not constant.

Front

How do you write an equation for a proportional relationship given a graph?

Back

To write an equation, identify the slope (k) from the graph and use the form y = kx.