Linear Relationships Review

Front

What is the slope of a linear equation?

Back

The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the rise over run.

Front

What does the point (x, y) represent in a linear relationship?

Back

The point (x, y) represents a specific value of the independent variable (x) and the corresponding value of the dependent variable (y) in a linear relationship.

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio of the two variables remains constant, and the graph of the relationship passes through the origin (0,0).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio of the two variables is not constant, and the graph does not pass through the origin.

Front

How do you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then dividing rise by run.

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 y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

What does it mean if a graph is linear?

Back

A graph is linear if it forms a straight line, indicating a constant rate of change between the variables.

Front

What is the significance of the origin in linear relationships?

Back

The origin (0,0) is significant in linear relationships as it indicates a proportional relationship if the line passes through it.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.