Unit 2 Linear Relationships Review

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What does the term 'non-proportional' mean?

Back

Non-proportional refers to a relationship where the ratio between two quantities is not constant, meaning they do not increase or decrease at the same rate.

Front

What is the equation for direct variation?

Back

The equation for direct variation is y = kx, where k is a constant.

Front

How can you identify a proportional relationship from a table of values?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change between the y and x values, indicating how much y changes for a unit change in x.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How can you tell 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 (0,0).

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a video game rental fee that includes a fixed cost plus a variable cost, such as $15 plus $3 per day.

Front

What does it mean for a graph to be both proportional and non-proportional?

Back

A graph can be both proportional and non-proportional if it includes segments that represent constant ratios and segments that do not.