Proportional Relationships and 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

How can you identify a proportional relationship from a graph?

Back

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

Front

What is the constant of proportionality?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

Which equation represents a proportional relationship? y = 4x or y = 4x + 5?

Back

y = 4x represents a proportional relationship because it passes through the origin.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is the constant of proportionality, representing the rate of change between the two variables.

Front

How do you determine if an equation is proportional?

Back

An equation is proportional if it can be written in the form y = kx, where k is a non-zero constant.

Front

What does it mean if an equation has a constant term?

Back

If an equation has a constant term (like +5 in y = 4x + 5), it does not represent a proportional relationship because it does not pass through the origin.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because proportional relationships must pass through this point, indicating that if one quantity is zero, the other is also zero.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values (y/x) are constant.