Algebra: Equations of Linear Functions

Front

What is the equation of a line in slope-intercept form?

Back

Front

How do you find the slope of a line given two points?

Back

Front

What does it mean for two lines to be perpendicular?

Back

Front

What is the y-intercept of a linear equation?

Back

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable. For example, in a cost function, it indicates how much the cost increases per unit of time or quantity.

Front

How can you determine if a linear function is increasing or decreasing?

Back

Front

What is the significance of the slope in the context of a linear regression model?

Back

In a linear regression model, the slope indicates how much the dependent variable is expected to change for each one-unit increase in the independent variable.

Front

What is a linear function?

Back

Front

How do you interpret the slope in the context of a swimming coach's time model?

Back

In the swimming coach's model, the slope of -0.893 indicates that for each year older the swimmers are, their 50-meter freestyle time decreases by 0.893 seconds.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.