Graphing 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 does it mean for a graph to be linear?

Back

A linear graph is a graph that shows a straight line, indicating a constant rate of change between the two variables.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) in a proportional relationship, often represented as y = kx.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it is linear and passes through the origin (0,0).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

How do you find the unit rate from a proportional relationship?

Back

The unit rate is found by dividing the total amount by the number of units, giving the amount per one unit.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is essential for proportionality.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

How do you write an equation from a proportional relationship?

Back

To write an equation, identify the constant of proportionality and use the form y = kx.