8.5I Multiple Representations

Front

What is a linear function?

Back

Front

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

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you write an equation for a linear function based on a real-world scenario?

Back

Front

What is the difference between a dependent and an independent variable?

Back

The independent variable is the variable that is changed or controlled in an experiment, while the dependent variable is the variable that is measured or affected.

Front

How can you represent a situation with a linear equation?

Back

By identifying the relationship between two quantities, determining the fixed and variable costs, and forming an equation that describes that relationship.

Front

What is the formula to calculate the total cost of ordering n items with a fixed fee?

Back

Front

How do you interpret the slope in a real-world context?

Back

The slope indicates how much the dependent variable changes for each unit increase in the independent variable, providing insight into the relationship between the two.

Front

What does it mean if a linear function has a negative slope?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases, showing an inverse relationship.

Front

How can you determine the equation of a line from two points?

Back