12.9.24 Review 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 significance of the origin in a proportional relationship?

Back

In a proportional relationship, the graph must pass through the origin (0,0) to indicate that when one quantity is zero, the other quantity is also zero.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. For example, 60 miles per hour.

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it is linear and passes through the origin.

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 rate of change between the two quantities in a proportional relationship.

Front

If a graph does not pass through the origin, what can be concluded?

Back

If a graph does not pass through the origin, it is not a proportional relationship.

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

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

Back

An example of a proportional relationship is the cost of apples per pound; if apples cost $2 per pound, then 2 pounds cost $4, maintaining a constant ratio.