Linear Relationships Review

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified by a straight line that passes through the origin (0,0) on a graph.

Front

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

Back

The slope of a line represents the rate of change between the two variables in the relationship.

Front

What is the unit rate?

Back

The unit rate is the amount of one quantity per one unit of another quantity, often used to compare costs or rates.

Front

How can you determine the cost per item from a table of expenses?

Back

To determine the cost per item, divide the total cost by the number of items.

Front

What does it mean if a line is below another line on a graph?

Back

If a line is below another line on a graph, it indicates that the value represented by that line is less than the value represented by the other line at corresponding points.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

How do you calculate the total cost from a unit price and quantity?

Back

To calculate the total cost, multiply the unit price by the quantity of items purchased.

Front

What is the formula for a linear equation in slope-intercept form?

Back

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

Front

What does it mean for a relationship to be non-proportional?

Back

A non-proportional relationship does not maintain a constant ratio between the two variables and does not pass through the origin.